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Finding the Fourth Proportional to 186,751.32, 257,706.54 and 106,167.66

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Solution

The fourth proportional to 186,751.32, 257,706.54 and 106,167.66 is: 146,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,751.32 : 257,706.54 = 106,167.66 : x
  2. Step 2: Convert to fraction form
    186,751.32/257,706.54 = 106,167.66/x
  3. Step 3: Cross multiply
    186,751.32x = 257,706.54 × 106,167.66
  4. Step 4: Simplify right side
    186,751.32x = 27,360,100,318.50
  5. Step 5: Solve for x
    x = 27,360,100,318.50/186,751.32
  6. Step 6: Final answer
    x = 146,505.53

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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.