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Finding the Fourth Proportional to 96,486.30, 144,707.85 and 63,438.30

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Solution

The fourth proportional to 96,486.30, 144,707.85 and 63,438.30 is: 95,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,486.30 : 144,707.85 = 63,438.30 : x
  2. Step 2: Convert to fraction form
    96,486.30/144,707.85 = 63,438.30/x
  3. Step 3: Cross multiply
    96,486.30x = 144,707.85 × 63,438.30
  4. Step 4: Simplify right side
    96,486.30x = 9,180,020,000.66
  5. Step 5: Solve for x
    x = 9,180,020,000.66/96,486.30
  6. Step 6: Final answer
    x = 95,143.25

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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.