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Finding the Fourth Proportional to 186,299.81, 257,129.17 and 105,734.88

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Solution

The fourth proportional to 186,299.81, 257,129.17 and 105,734.88 is: 145,934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,299.81 : 257,129.17 = 105,734.88 : x
  2. Step 2: Convert to fraction form
    186,299.81/257,129.17 = 105,734.88/x
  3. Step 3: Cross multiply
    186,299.81x = 257,129.17 × 105,734.88
  4. Step 4: Simplify right side
    186,299.81x = 27,187,521,405.78
  5. Step 5: Solve for x
    x = 27,187,521,405.78/186,299.81
  6. Step 6: Final answer
    x = 145,934.24

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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.