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Finding the Fourth Proportional to 165,288.98, 247,834.92 and 65,463.50

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Solution

The fourth proportional to 165,288.98, 247,834.92 and 65,463.50 is: 98,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,288.98 : 247,834.92 = 65,463.50 : x
  2. Step 2: Convert to fraction form
    165,288.98/247,834.92 = 65,463.50/x
  3. Step 3: Cross multiply
    165,288.98x = 247,834.92 × 65,463.50
  4. Step 4: Simplify right side
    165,288.98x = 16,224,141,285.42
  5. Step 5: Solve for x
    x = 16,224,141,285.42/165,288.98
  6. Step 6: Final answer
    x = 98,156.22

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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.