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Finding the Fourth Proportional to 123,713.97, 185,444.19 and 48,803.76

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Solution

The fourth proportional to 123,713.97, 185,444.19 and 48,803.76 is: 73,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,713.97 : 185,444.19 = 48,803.76 : x
  2. Step 2: Convert to fraction form
    123,713.97/185,444.19 = 48,803.76/x
  3. Step 3: Cross multiply
    123,713.97x = 185,444.19 × 48,803.76
  4. Step 4: Simplify right side
    123,713.97x = 9,050,373,742.15
  5. Step 5: Solve for x
    x = 9,050,373,742.15/123,713.97
  6. Step 6: Final answer
    x = 73,155.63

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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.