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Finding the Fourth Proportional to 101,214.96, 151,877.28 and 42,091.44

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Solution

The fourth proportional to 101,214.96, 151,877.28 and 42,091.44 is: 63,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,214.96 : 151,877.28 = 42,091.44 : x
  2. Step 2: Convert to fraction form
    101,214.96/151,877.28 = 42,091.44/x
  3. Step 3: Cross multiply
    101,214.96x = 151,877.28 × 42,091.44
  4. Step 4: Simplify right side
    101,214.96x = 6,392,733,418.48
  5. Step 5: Solve for x
    x = 6,392,733,418.48/101,214.96
  6. Step 6: Final answer
    x = 63,159.97

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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.