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Finding the Fourth Proportional to 123,738.18, 185,368.11 and 73,858.02

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Solution

The fourth proportional to 123,738.18, 185,368.11 and 73,858.02 is: 110,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,738.18 : 185,368.11 = 73,858.02 : x
  2. Step 2: Convert to fraction form
    123,738.18/185,368.11 = 73,858.02/x
  3. Step 3: Cross multiply
    123,738.18x = 185,368.11 × 73,858.02
  4. Step 4: Simplify right side
    123,738.18x = 13,690,921,575.74
  5. Step 5: Solve for x
    x = 13,690,921,575.74/123,738.18
  6. Step 6: Final answer
    x = 110,644.28

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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.