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Finding the Fourth Proportional to 123,903.93, 185,862.93 and 35,150.47

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Solution

The fourth proportional to 123,903.93, 185,862.93 and 35,150.47 is: 52,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,903.93 : 185,862.93 = 35,150.47 : x
  2. Step 2: Convert to fraction form
    123,903.93/185,862.93 = 35,150.47/x
  3. Step 3: Cross multiply
    123,903.93x = 185,862.93 × 35,150.47
  4. Step 4: Simplify right side
    123,903.93x = 6,533,169,345.08
  5. Step 5: Solve for x
    x = 6,533,169,345.08/123,903.93
  6. Step 6: Final answer
    x = 52,727.70

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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.