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Finding the Fourth Proportional to 181,882.28, 250,998 and 105,416.22

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Solution

The fourth proportional to 181,882.28, 250,998 and 105,416.22 is: 145,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,882.28 : 250,998 = 105,416.22 : x
  2. Step 2: Convert to fraction form
    181,882.28/250,998 = 105,416.22/x
  3. Step 3: Cross multiply
    181,882.28x = 250,998 × 105,416.22
  4. Step 4: Simplify right side
    181,882.28x = 26,459,260,387.56
  5. Step 5: Solve for x
    x = 26,459,260,387.56/181,882.28
  6. Step 6: Final answer
    x = 145,474.65

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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.