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Finding the Fourth Proportional to 96,438.78, 144,530.58 and 69,874.02

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Solution

The fourth proportional to 96,438.78, 144,530.58 and 69,874.02 is: 104,718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,438.78 : 144,530.58 = 69,874.02 : x
  2. Step 2: Convert to fraction form
    96,438.78/144,530.58 = 69,874.02/x
  3. Step 3: Cross multiply
    96,438.78x = 144,530.58 × 69,874.02
  4. Step 4: Simplify right side
    96,438.78x = 10,098,932,637.53
  5. Step 5: Solve for x
    x = 10,098,932,637.53/96,438.78
  6. Step 6: Final answer
    x = 104,718.59

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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.