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Finding the Fourth Proportional to 181,403.20, 272,104.80 and 148,160.80

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Solution

The fourth proportional to 181,403.20, 272,104.80 and 148,160.80 is: 222,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,403.20 : 272,104.80 = 148,160.80 : x
  2. Step 2: Convert to fraction form
    181,403.20/272,104.80 = 148,160.80/x
  3. Step 3: Cross multiply
    181,403.20x = 272,104.80 × 148,160.80
  4. Step 4: Simplify right side
    181,403.20x = 40,315,264,851.84
  5. Step 5: Solve for x
    x = 40,315,264,851.84/181,403.20
  6. Step 6: Final answer
    x = 222,241.20

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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.