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Finding the Fourth Proportional to 123,903.69, 185,862.57 and 35,150.22

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Solution

The fourth proportional to 123,903.69, 185,862.57 and 35,150.22 is: 52,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,903.69 : 185,862.57 = 35,150.22 : x
  2. Step 2: Convert to fraction form
    123,903.69/185,862.57 = 35,150.22/x
  3. Step 3: Cross multiply
    123,903.69x = 185,862.57 × 35,150.22
  4. Step 4: Simplify right side
    123,903.69x = 6,533,110,225.27
  5. Step 5: Solve for x
    x = 6,533,110,225.27/123,903.69
  6. Step 6: Final answer
    x = 52,727.33

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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.