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Finding the Fourth Proportional to 133,082.92, 183,646.60 and 76,494.30

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Solution

The fourth proportional to 133,082.92, 183,646.60 and 76,494.30 is: 105,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082.92 : 183,646.60 = 76,494.30 : x
  2. Step 2: Convert to fraction form
    133,082.92/183,646.60 = 76,494.30/x
  3. Step 3: Cross multiply
    133,082.92x = 183,646.60 × 76,494.30
  4. Step 4: Simplify right side
    133,082.92x = 14,047,918,114.38
  5. Step 5: Solve for x
    x = 14,047,918,114.38/133,082.92
  6. Step 6: Final answer
    x = 105,557.63

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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.