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Finding the Fourth Proportional to 123,509.34, 185,264.01 and 44,621.82

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Solution

The fourth proportional to 123,509.34, 185,264.01 and 44,621.82 is: 66,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,509.34 : 185,264.01 = 44,621.82 : x
  2. Step 2: Convert to fraction form
    123,509.34/185,264.01 = 44,621.82/x
  3. Step 3: Cross multiply
    123,509.34x = 185,264.01 × 44,621.82
  4. Step 4: Simplify right side
    123,509.34x = 8,266,817,306.70
  5. Step 5: Solve for x
    x = 8,266,817,306.70/123,509.34
  6. Step 6: Final answer
    x = 66,932.73

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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.