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Finding the Fourth Proportional to 186,402.85, 257,238.87 and 101,519.85

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Solution

The fourth proportional to 186,402.85, 257,238.87 and 101,519.85 is: 140,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,402.85 : 257,238.87 = 101,519.85 : x
  2. Step 2: Convert to fraction form
    186,402.85/257,238.87 = 101,519.85/x
  3. Step 3: Cross multiply
    186,402.85x = 257,238.87 × 101,519.85
  4. Step 4: Simplify right side
    186,402.85x = 26,114,851,496.57
  5. Step 5: Solve for x
    x = 26,114,851,496.57/186,402.85
  6. Step 6: Final answer
    x = 140,098.99

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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.