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Finding the Fourth Proportional to 186,751.38, 257,706.54 and 106,167.72

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Solution

The fourth proportional to 186,751.38, 257,706.54 and 106,167.72 is: 146,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,751.38 : 257,706.54 = 106,167.72 : x
  2. Step 2: Convert to fraction form
    186,751.38/257,706.54 = 106,167.72/x
  3. Step 3: Cross multiply
    186,751.38x = 257,706.54 × 106,167.72
  4. Step 4: Simplify right side
    186,751.38x = 27,360,115,780.89
  5. Step 5: Solve for x
    x = 27,360,115,780.89/186,751.38
  6. Step 6: Final answer
    x = 146,505.56

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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.