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Finding the Fourth Proportional to 285,165.83, 393,487.65 and 157,841.12

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Solution

The fourth proportional to 285,165.83, 393,487.65 and 157,841.12 is: 217,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,165.83 : 393,487.65 = 157,841.12 : x
  2. Step 2: Convert to fraction form
    285,165.83/393,487.65 = 157,841.12/x
  3. Step 3: Cross multiply
    285,165.83x = 393,487.65 × 157,841.12
  4. Step 4: Simplify right side
    285,165.83x = 62,108,529,414.73
  5. Step 5: Solve for x
    x = 62,108,529,414.73/285,165.83
  6. Step 6: Final answer
    x = 217,797.94

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1.5x scale

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.