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Finding the Fourth Proportional to 186,842.27, 257,847.78 and 101,964.80

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Solution

The fourth proportional to 186,842.27, 257,847.78 and 101,964.80 is: 140,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,842.27 : 257,847.78 = 101,964.80 : x
  2. Step 2: Convert to fraction form
    186,842.27/257,847.78 = 101,964.80/x
  3. Step 3: Cross multiply
    186,842.27x = 257,847.78 × 101,964.80
  4. Step 4: Simplify right side
    186,842.27x = 26,291,397,318.14
  5. Step 5: Solve for x
    x = 26,291,397,318.14/186,842.27
  6. Step 6: Final answer
    x = 140,714.40

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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.