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Finding the Fourth Proportional to 181,954.20, 272,931.30 and 166,207.80

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Solution

The fourth proportional to 181,954.20, 272,931.30 and 166,207.80 is: 249,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,954.20 : 272,931.30 = 166,207.80 : x
  2. Step 2: Convert to fraction form
    181,954.20/272,931.30 = 166,207.80/x
  3. Step 3: Cross multiply
    181,954.20x = 272,931.30 × 166,207.80
  4. Step 4: Simplify right side
    181,954.20x = 45,363,310,924.14
  5. Step 5: Solve for x
    x = 45,363,310,924.14/181,954.20
  6. Step 6: Final answer
    x = 249,311.70

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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.