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Finding the Fourth Proportional to 86,537.84, 129,042.90 and 83,454.14

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Solution

The fourth proportional to 86,537.84, 129,042.90 and 83,454.14 is: 124,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,537.84 : 129,042.90 = 83,454.14 : x
  2. Step 2: Convert to fraction form
    86,537.84/129,042.90 = 83,454.14/x
  3. Step 3: Cross multiply
    86,537.84x = 129,042.90 × 83,454.14
  4. Step 4: Simplify right side
    86,537.84x = 10,769,164,242.61
  5. Step 5: Solve for x
    x = 10,769,164,242.61/86,537.84
  6. Step 6: Final answer
    x = 124,444.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.