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Finding the Fourth Proportional to 367,082.55, 550,459.80 and 142,368.30

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Solution

The fourth proportional to 367,082.55, 550,459.80 and 142,368.30 is: 213,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,082.55 : 550,459.80 = 142,368.30 : x
  2. Step 2: Convert to fraction form
    367,082.55/550,459.80 = 142,368.30/x
  3. Step 3: Cross multiply
    367,082.55x = 550,459.80 × 142,368.30
  4. Step 4: Simplify right side
    367,082.55x = 78,368,025,944.34
  5. Step 5: Solve for x
    x = 78,368,025,944.34/367,082.55
  6. Step 6: Final answer
    x = 213,488.83

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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.