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Finding the Fourth Proportional to 102,596.12, 141,471.04 and 66,719.60

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Solution

The fourth proportional to 102,596.12, 141,471.04 and 66,719.60 is: 92,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,596.12 : 141,471.04 = 66,719.60 : x
  2. Step 2: Convert to fraction form
    102,596.12/141,471.04 = 66,719.60/x
  3. Step 3: Cross multiply
    102,596.12x = 141,471.04 × 66,719.60
  4. Step 4: Simplify right side
    102,596.12x = 9,438,891,200.38
  5. Step 5: Solve for x
    x = 9,438,891,200.38/102,596.12
  6. Step 6: Final answer
    x = 92,000.47

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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.