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Finding the Fourth Proportional to 186,469, 257,318.22 and 105,885.88

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Solution

The fourth proportional to 186,469, 257,318.22 and 105,885.88 is: 146,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,469 : 257,318.22 = 105,885.88 : x
  2. Step 2: Convert to fraction form
    186,469/257,318.22 = 105,885.88/x
  3. Step 3: Cross multiply
    186,469x = 257,318.22 × 105,885.88
  4. Step 4: Simplify right side
    186,469x = 27,246,366,164.73
  5. Step 5: Solve for x
    x = 27,246,366,164.73/186,469
  6. Step 6: Final answer
    x = 146,117.40

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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.