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Finding the Fourth Proportional to 151,356.38, 208,891.85 and 97,797.15

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Solution

The fourth proportional to 151,356.38, 208,891.85 and 97,797.15 is: 134,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,356.38 : 208,891.85 = 97,797.15 : x
  2. Step 2: Convert to fraction form
    151,356.38/208,891.85 = 97,797.15/x
  3. Step 3: Cross multiply
    151,356.38x = 208,891.85 × 97,797.15
  4. Step 4: Simplify right side
    151,356.38x = 20,429,027,099.24
  5. Step 5: Solve for x
    x = 20,429,027,099.24/151,356.38
  6. Step 6: Final answer
    x = 134,973.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.