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Finding the Fourth Proportional to 140,691.84, 210,888.16 and 96,306.08

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Solution

The fourth proportional to 140,691.84, 210,888.16 and 96,306.08 is: 144,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,691.84 : 210,888.16 = 96,306.08 : x
  2. Step 2: Convert to fraction form
    140,691.84/210,888.16 = 96,306.08/x
  3. Step 3: Cross multiply
    140,691.84x = 210,888.16 × 96,306.08
  4. Step 4: Simplify right side
    140,691.84x = 20,309,812,008.01
  5. Step 5: Solve for x
    x = 20,309,812,008.01/140,691.84
  6. Step 6: Final answer
    x = 144,356.72

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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.