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Finding the Fourth Proportional to 475,937.10, 713,929.32 and 156,121.20

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Solution

The fourth proportional to 475,937.10, 713,929.32 and 156,121.20 is: 234,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,937.10 : 713,929.32 = 156,121.20 : x
  2. Step 2: Convert to fraction form
    475,937.10/713,929.32 = 156,121.20/x
  3. Step 3: Cross multiply
    475,937.10x = 713,929.32 × 156,121.20
  4. Step 4: Simplify right side
    475,937.10x = 111,459,502,153.58
  5. Step 5: Solve for x
    x = 111,459,502,153.58/475,937.10
  6. Step 6: Final answer
    x = 234,189.56

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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.