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Finding the Fourth Proportional to 199,836.92, 299,903.02 and 94,655.90

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Solution

The fourth proportional to 199,836.92, 299,903.02 and 94,655.90 is: 142,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,836.92 : 299,903.02 = 94,655.90 : x
  2. Step 2: Convert to fraction form
    199,836.92/299,903.02 = 94,655.90/x
  3. Step 3: Cross multiply
    199,836.92x = 299,903.02 × 94,655.90
  4. Step 4: Simplify right side
    199,836.92x = 28,387,590,270.82
  5. Step 5: Solve for x
    x = 28,387,590,270.82/199,836.92
  6. Step 6: Final answer
    x = 142,053.78

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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.