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Finding the Fourth Proportional to 138,411.06, 191,007.89 and 77,982.63

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Solution

The fourth proportional to 138,411.06, 191,007.89 and 77,982.63 is: 107,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411.06 : 191,007.89 = 77,982.63 : x
  2. Step 2: Convert to fraction form
    138,411.06/191,007.89 = 77,982.63/x
  3. Step 3: Cross multiply
    138,411.06x = 191,007.89 × 77,982.63
  4. Step 4: Simplify right side
    138,411.06x = 14,895,297,612.95
  5. Step 5: Solve for x
    x = 14,895,297,612.95/138,411.06
  6. Step 6: Final answer
    x = 107,616.38

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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.