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Finding the Fourth Proportional to 181,924.88, 272,868.24 and 48,818.78

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Solution

The fourth proportional to 181,924.88, 272,868.24 and 48,818.78 is: 73,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,924.88 : 272,868.24 = 48,818.78 : x
  2. Step 2: Convert to fraction form
    181,924.88/272,868.24 = 48,818.78/x
  3. Step 3: Cross multiply
    181,924.88x = 272,868.24 × 48,818.78
  4. Step 4: Simplify right side
    181,924.88x = 13,321,094,577.55
  5. Step 5: Solve for x
    x = 13,321,094,577.55/181,924.88
  6. Step 6: Final answer
    x = 73,223.05

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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.