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Finding the Fourth Proportional to 186,591.50, 257,496.33 and 106,019.13

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Solution

The fourth proportional to 186,591.50, 257,496.33 and 106,019.13 is: 146,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,591.50 : 257,496.33 = 106,019.13 : x
  2. Step 2: Convert to fraction form
    186,591.50/257,496.33 = 106,019.13/x
  3. Step 3: Cross multiply
    186,591.50x = 257,496.33 × 106,019.13
  4. Step 4: Simplify right side
    186,591.50x = 27,299,536,884.79
  5. Step 5: Solve for x
    x = 27,299,536,884.79/186,591.50
  6. Step 6: Final answer
    x = 146,306.43

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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.