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Finding the Fourth Proportional to 134,842, 186,082.04 and 75,226

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Solution

The fourth proportional to 134,842, 186,082.04 and 75,226 is: 103,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,842 : 186,082.04 = 75,226 : x
  2. Step 2: Convert to fraction form
    134,842/186,082.04 = 75,226/x
  3. Step 3: Cross multiply
    134,842x = 186,082.04 × 75,226
  4. Step 4: Simplify right side
    134,842x = 13,998,207,541.04
  5. Step 5: Solve for x
    x = 13,998,207,541.04/134,842
  6. Step 6: Final answer
    x = 103,811.92

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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.