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Finding the Fourth Proportional to 186,541.38, 257,427.11 and 101,658.38

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Solution

The fourth proportional to 186,541.38, 257,427.11 and 101,658.38 is: 140,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,541.38 : 257,427.11 = 101,658.38 : x
  2. Step 2: Convert to fraction form
    186,541.38/257,427.11 = 101,658.38/x
  3. Step 3: Cross multiply
    186,541.38x = 257,427.11 × 101,658.38
  4. Step 4: Simplify right side
    186,541.38x = 26,169,621,937.69
  5. Step 5: Solve for x
    x = 26,169,621,937.69/186,541.38
  6. Step 6: Final answer
    x = 140,288.56

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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.