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Finding the Fourth Proportional to 138,649.76, 191,345.42 and 78,198.35

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Solution

The fourth proportional to 138,649.76, 191,345.42 and 78,198.35 is: 107,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,649.76 : 191,345.42 = 78,198.35 : x
  2. Step 2: Convert to fraction form
    138,649.76/191,345.42 = 78,198.35/x
  3. Step 3: Cross multiply
    138,649.76x = 191,345.42 × 78,198.35
  4. Step 4: Simplify right side
    138,649.76x = 14,962,896,124.06
  5. Step 5: Solve for x
    x = 14,962,896,124.06/138,649.76
  6. Step 6: Final answer
    x = 107,918.66

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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.