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Finding the Fourth Proportional to 133,864.89, 200,732.68 and 77,719.15

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Solution

The fourth proportional to 133,864.89, 200,732.68 and 77,719.15 is: 116,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,864.89 : 200,732.68 = 77,719.15 : x
  2. Step 2: Convert to fraction form
    133,864.89/200,732.68 = 77,719.15/x
  3. Step 3: Cross multiply
    133,864.89x = 200,732.68 × 77,719.15
  4. Step 4: Simplify right side
    133,864.89x = 15,600,773,266.82
  5. Step 5: Solve for x
    x = 15,600,773,266.82/133,864.89
  6. Step 6: Final answer
    x = 116,541.19

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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.