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Finding the Fourth Proportional to 181,459.50, 250,414.14 and 101,971.50

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Solution

The fourth proportional to 181,459.50, 250,414.14 and 101,971.50 is: 140,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,459.50 : 250,414.14 = 101,971.50 : x
  2. Step 2: Convert to fraction form
    181,459.50/250,414.14 = 101,971.50/x
  3. Step 3: Cross multiply
    181,459.50x = 250,414.14 × 101,971.50
  4. Step 4: Simplify right side
    181,459.50x = 25,535,105,477.01
  5. Step 5: Solve for x
    x = 25,535,105,477.01/181,459.50
  6. Step 6: Final answer
    x = 140,720.69

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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.