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Finding the Fourth Proportional to 186,499.66, 257,371.42 and 101,618.14

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Solution

The fourth proportional to 186,499.66, 257,371.42 and 101,618.14 is: 140,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,499.66 : 257,371.42 = 101,618.14 : x
  2. Step 2: Convert to fraction form
    186,499.66/257,371.42 = 101,618.14/x
  3. Step 3: Cross multiply
    186,499.66x = 257,371.42 × 101,618.14
  4. Step 4: Simplify right side
    186,499.66x = 26,153,604,989.56
  5. Step 5: Solve for x
    x = 26,153,604,989.56/186,499.66
  6. Step 6: Final answer
    x = 140,234.06

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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.