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Finding the Fourth Proportional to 181,494.86, 272,255.25 and 48,374.42

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Solution

The fourth proportional to 181,494.86, 272,255.25 and 48,374.42 is: 72,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,494.86 : 272,255.25 = 48,374.42 : x
  2. Step 2: Convert to fraction form
    181,494.86/272,255.25 = 48,374.42/x
  3. Step 3: Cross multiply
    181,494.86x = 272,255.25 × 48,374.42
  4. Step 4: Simplify right side
    181,494.86x = 13,170,189,810.71
  5. Step 5: Solve for x
    x = 13,170,189,810.71/181,494.86
  6. Step 6: Final answer
    x = 72,565.08

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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.