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Finding the Fourth Proportional to 162,898.80, 224,768.20 and 102,434.32

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Solution

The fourth proportional to 162,898.80, 224,768.20 and 102,434.32 is: 141,339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,898.80 : 224,768.20 = 102,434.32 : x
  2. Step 2: Convert to fraction form
    162,898.80/224,768.20 = 102,434.32/x
  3. Step 3: Cross multiply
    162,898.80x = 224,768.20 × 102,434.32
  4. Step 4: Simplify right side
    162,898.80x = 23,023,977,724.62
  5. Step 5: Solve for x
    x = 23,023,977,724.62/162,898.80
  6. Step 6: Final answer
    x = 141,339.15

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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.