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Finding the Fourth Proportional to 228,502.20, 342,823.32 and 102,248.70

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Solution

The fourth proportional to 228,502.20, 342,823.32 and 102,248.70 is: 153,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,502.20 : 342,823.32 = 102,248.70 : x
  2. Step 2: Convert to fraction form
    228,502.20/342,823.32 = 102,248.70/x
  3. Step 3: Cross multiply
    228,502.20x = 342,823.32 × 102,248.70
  4. Step 4: Simplify right side
    228,502.20x = 35,053,238,799.68
  5. Step 5: Solve for x
    x = 35,053,238,799.68/228,502.20
  6. Step 6: Final answer
    x = 153,404.38

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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.