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Finding the Fourth Proportional to 123,410.61, 185,122.84 and 34,657.19

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Solution

The fourth proportional to 123,410.61, 185,122.84 and 34,657.19 is: 51,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,410.61 : 185,122.84 = 34,657.19 : x
  2. Step 2: Convert to fraction form
    123,410.61/185,122.84 = 34,657.19/x
  3. Step 3: Cross multiply
    123,410.61x = 185,122.84 × 34,657.19
  4. Step 4: Simplify right side
    123,410.61x = 6,415,837,439.22
  5. Step 5: Solve for x
    x = 6,415,837,439.22/123,410.61
  6. Step 6: Final answer
    x = 51,987.73

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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.