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Finding the Fourth Proportional to 181,362.76, 272,064.84 and 48,248.44

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Solution

The fourth proportional to 181,362.76, 272,064.84 and 48,248.44 is: 72,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,362.76 : 272,064.84 = 48,248.44 : x
  2. Step 2: Convert to fraction form
    181,362.76/272,064.84 = 48,248.44/x
  3. Step 3: Cross multiply
    181,362.76x = 272,064.84 × 48,248.44
  4. Step 4: Simplify right side
    181,362.76x = 13,126,704,108.85
  5. Step 5: Solve for x
    x = 13,126,704,108.85/181,362.76
  6. Step 6: Final answer
    x = 72,378.17

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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.