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Finding the Fourth Proportional to 181,971.20, 272,956.80 and 166,224.80

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Solution

The fourth proportional to 181,971.20, 272,956.80 and 166,224.80 is: 249,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,971.20 : 272,956.80 = 166,224.80 : x
  2. Step 2: Convert to fraction form
    181,971.20/272,956.80 = 166,224.80/x
  3. Step 3: Cross multiply
    181,971.20x = 272,956.80 × 166,224.80
  4. Step 4: Simplify right side
    181,971.20x = 45,372,189,488.64
  5. Step 5: Solve for x
    x = 45,372,189,488.64/181,971.20
  6. Step 6: Final answer
    x = 249,337.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.