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Finding the Fourth Proportional to 123,599.68, 185,454.64 and 57,004

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Solution

The fourth proportional to 123,599.68, 185,454.64 and 57,004 is: 85,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,599.68 : 185,454.64 = 57,004 : x
  2. Step 2: Convert to fraction form
    123,599.68/185,454.64 = 57,004/x
  3. Step 3: Cross multiply
    123,599.68x = 185,454.64 × 57,004
  4. Step 4: Simplify right side
    123,599.68x = 10,571,656,298.56
  5. Step 5: Solve for x
    x = 10,571,656,298.56/123,599.68
  6. Step 6: Final answer
    x = 85,531.42

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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.