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Finding the Fourth Proportional to 76,473.40, 114,710.10 and 73,411.60

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Solution

The fourth proportional to 76,473.40, 114,710.10 and 73,411.60 is: 110,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,473.40 : 114,710.10 = 73,411.60 : x
  2. Step 2: Convert to fraction form
    76,473.40/114,710.10 = 73,411.60/x
  3. Step 3: Cross multiply
    76,473.40x = 114,710.10 × 73,411.60
  4. Step 4: Simplify right side
    76,473.40x = 8,421,051,977.16
  5. Step 5: Solve for x
    x = 8,421,051,977.16/76,473.40
  6. Step 6: Final answer
    x = 110,117.40

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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.