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Finding the Fourth Proportional to 102,007.20, 152,937.90 and 45,801.30

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Solution

The fourth proportional to 102,007.20, 152,937.90 and 45,801.30 is: 68,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007.20 : 152,937.90 = 45,801.30 : x
  2. Step 2: Convert to fraction form
    102,007.20/152,937.90 = 45,801.30/x
  3. Step 3: Cross multiply
    102,007.20x = 152,937.90 × 45,801.30
  4. Step 4: Simplify right side
    102,007.20x = 7,004,754,639.27
  5. Step 5: Solve for x
    x = 7,004,754,639.27/102,007.20
  6. Step 6: Final answer
    x = 68,669.22

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