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Finding the Fourth Proportional to 186,909.55, 257,926.17 and 106,329.49

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Solution

The fourth proportional to 186,909.55, 257,926.17 and 106,329.49 is: 146,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,909.55 : 257,926.17 = 106,329.49 : x
  2. Step 2: Convert to fraction form
    186,909.55/257,926.17 = 106,329.49/x
  3. Step 3: Cross multiply
    186,909.55x = 257,926.17 × 106,329.49
  4. Step 4: Simplify right side
    186,909.55x = 27,425,158,113.75
  5. Step 5: Solve for x
    x = 27,425,158,113.75/186,909.55
  6. Step 6: Final answer
    x = 146,729.57

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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.