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Finding the Fourth Proportional to 96,510.30, 144,743.85 and 63,462.30

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Solution

The fourth proportional to 96,510.30, 144,743.85 and 63,462.30 is: 95,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,510.30 : 144,743.85 = 63,462.30 : x
  2. Step 2: Convert to fraction form
    96,510.30/144,743.85 = 63,462.30/x
  3. Step 3: Cross multiply
    96,510.30x = 144,743.85 × 63,462.30
  4. Step 4: Simplify right side
    96,510.30x = 9,185,777,631.86
  5. Step 5: Solve for x
    x = 9,185,777,631.86/96,510.30
  6. Step 6: Final answer
    x = 95,179.25

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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.