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Finding the Fourth Proportional to 152,706.10, 229,107.15 and 73,822.90

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Solution

The fourth proportional to 152,706.10, 229,107.15 and 73,822.90 is: 110,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,706.10 : 229,107.15 = 73,822.90 : x
  2. Step 2: Convert to fraction form
    152,706.10/229,107.15 = 73,822.90/x
  3. Step 3: Cross multiply
    152,706.10x = 229,107.15 × 73,822.90
  4. Step 4: Simplify right side
    152,706.10x = 16,913,354,223.74
  5. Step 5: Solve for x
    x = 16,913,354,223.74/152,706.10
  6. Step 6: Final answer
    x = 110,757.55

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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.