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Finding the Fourth Proportional to 123,866.97, 185,807.52 and 35,113.50

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Solution

The fourth proportional to 123,866.97, 185,807.52 and 35,113.50 is: 52,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,866.97 : 185,807.52 = 35,113.50 : x
  2. Step 2: Convert to fraction form
    123,866.97/185,807.52 = 35,113.50/x
  3. Step 3: Cross multiply
    123,866.97x = 185,807.52 × 35,113.50
  4. Step 4: Simplify right side
    123,866.97x = 6,524,352,353.52
  5. Step 5: Solve for x
    x = 6,524,352,353.52/123,866.97
  6. Step 6: Final answer
    x = 52,672.25

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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.