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Finding the Fourth Proportional to 100,196.52, 138,267.79 and 57,178.38

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Solution

The fourth proportional to 100,196.52, 138,267.79 and 57,178.38 is: 78,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,196.52 : 138,267.79 = 57,178.38 : x
  2. Step 2: Convert to fraction form
    100,196.52/138,267.79 = 57,178.38/x
  3. Step 3: Cross multiply
    100,196.52x = 138,267.79 × 57,178.38
  4. Step 4: Simplify right side
    100,196.52x = 7,905,928,613.94
  5. Step 5: Solve for x
    x = 7,905,928,613.94/100,196.52
  6. Step 6: Final answer
    x = 78,904.23

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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.