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Finding the Fourth Proportional to 402,200.40, 603,257.40 and 106,712.40

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Solution

The fourth proportional to 402,200.40, 603,257.40 and 106,712.40 is: 160,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,200.40 : 603,257.40 = 106,712.40 : x
  2. Step 2: Convert to fraction form
    402,200.40/603,257.40 = 106,712.40/x
  3. Step 3: Cross multiply
    402,200.40x = 603,257.40 × 106,712.40
  4. Step 4: Simplify right side
    402,200.40x = 64,375,044,971.76
  5. Step 5: Solve for x
    x = 64,375,044,971.76/402,200.40
  6. Step 6: Final answer
    x = 160,057.14

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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.