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Finding the Fourth Proportional to 144,155.72, 198,926.30 and 83,722.20

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Solution

The fourth proportional to 144,155.72, 198,926.30 and 83,722.20 is: 115,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,155.72 : 198,926.30 = 83,722.20 : x
  2. Step 2: Convert to fraction form
    144,155.72/198,926.30 = 83,722.20/x
  3. Step 3: Cross multiply
    144,155.72x = 198,926.30 × 83,722.20
  4. Step 4: Simplify right side
    144,155.72x = 16,654,547,473.86
  5. Step 5: Solve for x
    x = 16,654,547,473.86/144,155.72
  6. Step 6: Final answer
    x = 115,531.65

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