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Finding the Fourth Proportional to 119,167.02, 164,452.53 and 65,454.30

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Solution

The fourth proportional to 119,167.02, 164,452.53 and 65,454.30 is: 90,328.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,167.02 : 164,452.53 = 65,454.30 : x
  2. Step 2: Convert to fraction form
    119,167.02/164,452.53 = 65,454.30/x
  3. Step 3: Cross multiply
    119,167.02x = 164,452.53 × 65,454.30
  4. Step 4: Simplify right side
    119,167.02x = 10,764,125,234.38
  5. Step 5: Solve for x
    x = 10,764,125,234.38/119,167.02
  6. Step 6: Final answer
    x = 90,328.06

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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.