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Finding the Fourth Proportional to 181,272.60, 271,908.90 and 97,291.80

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Solution

The fourth proportional to 181,272.60, 271,908.90 and 97,291.80 is: 145,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,272.60 : 271,908.90 = 97,291.80 : x
  2. Step 2: Convert to fraction form
    181,272.60/271,908.90 = 97,291.80/x
  3. Step 3: Cross multiply
    181,272.60x = 271,908.90 × 97,291.80
  4. Step 4: Simplify right side
    181,272.60x = 26,454,506,317.02
  5. Step 5: Solve for x
    x = 26,454,506,317.02/181,272.60
  6. Step 6: Final answer
    x = 145,937.70

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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.