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Finding the Fourth Proportional to 162,434.80, 224,229.12 and 98,793.04

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Solution

The fourth proportional to 162,434.80, 224,229.12 and 98,793.04 is: 136,376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,434.80 : 224,229.12 = 98,793.04 : x
  2. Step 2: Convert to fraction form
    162,434.80/224,229.12 = 98,793.04/x
  3. Step 3: Cross multiply
    162,434.80x = 224,229.12 × 98,793.04
  4. Step 4: Simplify right side
    162,434.80x = 22,152,276,421.32
  5. Step 5: Solve for x
    x = 22,152,276,421.32/162,434.80
  6. Step 6: Final answer
    x = 136,376.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.