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Finding the Fourth Proportional to 105,013.34, 144,876.06 and 60,781.84

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Solution

The fourth proportional to 105,013.34, 144,876.06 and 60,781.84 is: 83,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,013.34 : 144,876.06 = 60,781.84 : x
  2. Step 2: Convert to fraction form
    105,013.34/144,876.06 = 60,781.84/x
  3. Step 3: Cross multiply
    105,013.34x = 144,876.06 × 60,781.84
  4. Step 4: Simplify right side
    105,013.34x = 8,805,833,755.82
  5. Step 5: Solve for x
    x = 8,805,833,755.82/105,013.34
  6. Step 6: Final answer
    x = 83,854.43

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