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Finding the Fourth Proportional to 301,093.02, 451,639.71 and 76,470.30

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Solution

The fourth proportional to 301,093.02, 451,639.71 and 76,470.30 is: 114,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,093.02 : 451,639.71 = 76,470.30 : x
  2. Step 2: Convert to fraction form
    301,093.02/451,639.71 = 76,470.30/x
  3. Step 3: Cross multiply
    301,093.02x = 451,639.71 × 76,470.30
  4. Step 4: Simplify right side
    301,093.02x = 34,537,024,115.61
  5. Step 5: Solve for x
    x = 34,537,024,115.61/301,093.02
  6. Step 6: Final answer
    x = 114,705.50

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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.