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Finding the Fourth Proportional to 156,957.92, 235,473.78 and 51,776.90

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Solution

The fourth proportional to 156,957.92, 235,473.78 and 51,776.90 is: 77,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,957.92 : 235,473.78 = 51,776.90 : x
  2. Step 2: Convert to fraction form
    156,957.92/235,473.78 = 51,776.90/x
  3. Step 3: Cross multiply
    156,957.92x = 235,473.78 × 51,776.90
  4. Step 4: Simplify right side
    156,957.92x = 12,192,102,359.68
  5. Step 5: Solve for x
    x = 12,192,102,359.68/156,957.92
  6. Step 6: Final answer
    x = 77,677.52

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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.