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Finding the Fourth Proportional to 123,904.93, 185,864.43 and 35,151.47

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Solution

The fourth proportional to 123,904.93, 185,864.43 and 35,151.47 is: 52,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,904.93 : 185,864.43 = 35,151.47 : x
  2. Step 2: Convert to fraction form
    123,904.93/185,864.43 = 35,151.47/x
  3. Step 3: Cross multiply
    123,904.93x = 185,864.43 × 35,151.47
  4. Step 4: Simplify right side
    123,904.93x = 6,533,407,935.21
  5. Step 5: Solve for x
    x = 6,533,407,935.21/123,904.93
  6. Step 6: Final answer
    x = 52,729.20

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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.