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Finding the Fourth Proportional to 120,759.52, 181,139.28 and 37,660

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Solution

The fourth proportional to 120,759.52, 181,139.28 and 37,660 is: 56,490

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,759.52 : 181,139.28 = 37,660 : x
  2. Step 2: Convert to fraction form
    120,759.52/181,139.28 = 37,660/x
  3. Step 3: Cross multiply
    120,759.52x = 181,139.28 × 37,660
  4. Step 4: Simplify right side
    120,759.52x = 6,821,705,284.80
  5. Step 5: Solve for x
    x = 6,821,705,284.80/120,759.52
  6. Step 6: Final answer
    x = 56,490

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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.