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Finding the Fourth Proportional to 280,405.91, 386,946.65 and 159,535.91

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Solution

The fourth proportional to 280,405.91, 386,946.65 and 159,535.91 is: 220,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,405.91 : 386,946.65 = 159,535.91 : x
  2. Step 2: Convert to fraction form
    280,405.91/386,946.65 = 159,535.91/x
  3. Step 3: Cross multiply
    280,405.91x = 386,946.65 × 159,535.91
  4. Step 4: Simplify right side
    280,405.91x = 61,731,883,196.79
  5. Step 5: Solve for x
    x = 61,731,883,196.79/280,405.91
  6. Step 6: Final answer
    x = 220,151.87

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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.