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Finding the Fourth Proportional to 186,691.83, 257,650.03 and 106,144.62

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Solution

The fourth proportional to 186,691.83, 257,650.03 and 106,144.62 is: 146,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,691.83 : 257,650.03 = 106,144.62 : x
  2. Step 2: Convert to fraction form
    186,691.83/257,650.03 = 106,144.62/x
  3. Step 3: Cross multiply
    186,691.83x = 257,650.03 × 106,144.62
  4. Step 4: Simplify right side
    186,691.83x = 27,348,164,527.34
  5. Step 5: Solve for x
    x = 27,348,164,527.34/186,691.83
  6. Step 6: Final answer
    x = 146,488.28

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1.5x scale

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.