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Finding the Fourth Proportional to 142,339.67, 196,448.28 and 81,909.08

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Solution

The fourth proportional to 142,339.67, 196,448.28 and 81,909.08 is: 113,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,339.67 : 196,448.28 = 81,909.08 : x
  2. Step 2: Convert to fraction form
    142,339.67/196,448.28 = 81,909.08/x
  3. Step 3: Cross multiply
    142,339.67x = 196,448.28 × 81,909.08
  4. Step 4: Simplify right side
    142,339.67x = 16,090,897,882.38
  5. Step 5: Solve for x
    x = 16,090,897,882.38/142,339.67
  6. Step 6: Final answer
    x = 113,045.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.