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Finding the Fourth Proportional to 76,608,817.60, 114,913,226.40 and 31,203,198.40

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Solution

The fourth proportional to 76,608,817.60, 114,913,226.40 and 31,203,198.40 is: 46,804,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,608,817.60 : 114,913,226.40 = 31,203,198.40 : x
  2. Step 2: Convert to fraction form
    76,608,817.60/114,913,226.40 = 31,203,198.40/x
  3. Step 3: Cross multiply
    76,608,817.60x = 114,913,226.40 × 31,203,198.40
  4. Step 4: Simplify right side
    76,608,817.60x = 3,585,660,202,143,318
  5. Step 5: Solve for x
    x = 3,585,660,202,143,318/76,608,817.60
  6. Step 6: Final answer
    x = 46,804,797.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.