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Finding the Fourth Proportional to 99,572.40, 149,358.30 and 82,005.12

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Solution

The fourth proportional to 99,572.40, 149,358.30 and 82,005.12 is: 123,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,572.40 : 149,358.30 = 82,005.12 : x
  2. Step 2: Convert to fraction form
    99,572.40/149,358.30 = 82,005.12/x
  3. Step 3: Cross multiply
    99,572.40x = 149,358.30 × 82,005.12
  4. Step 4: Simplify right side
    99,572.40x = 12,248,145,314.50
  5. Step 5: Solve for x
    x = 12,248,145,314.50/99,572.40
  6. Step 6: Final answer
    x = 123,007.43

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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.