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Finding the Fourth Proportional to 96,438.40, 144,487.52 and 84,458.48

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Solution

The fourth proportional to 96,438.40, 144,487.52 and 84,458.48 is: 126,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,438.40 : 144,487.52 = 84,458.48 : x
  2. Step 2: Convert to fraction form
    96,438.40/144,487.52 = 84,458.48/x
  3. Step 3: Cross multiply
    96,438.40x = 144,487.52 × 84,458.48
  4. Step 4: Simplify right side
    96,438.40x = 12,203,196,318.17
  5. Step 5: Solve for x
    x = 12,203,196,318.17/96,438.40
  6. Step 6: Final answer
    x = 126,538.77

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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.