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Finding the Fourth Proportional to 83,171.34, 114,641.46 and 64,990.26

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Solution

The fourth proportional to 83,171.34, 114,641.46 and 64,990.26 is: 89,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,171.34 : 114,641.46 = 64,990.26 : x
  2. Step 2: Convert to fraction form
    83,171.34/114,641.46 = 64,990.26/x
  3. Step 3: Cross multiply
    83,171.34x = 114,641.46 × 64,990.26
  4. Step 4: Simplify right side
    83,171.34x = 7,450,578,292.18
  5. Step 5: Solve for x
    x = 7,450,578,292.18/83,171.34
  6. Step 6: Final answer
    x = 89,581.08

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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.