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Finding the Fourth Proportional to 115,885.76, 159,938.55 and 83,724.47

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Solution

The fourth proportional to 115,885.76, 159,938.55 and 83,724.47 is: 115,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,885.76 : 159,938.55 = 83,724.47 : x
  2. Step 2: Convert to fraction form
    115,885.76/159,938.55 = 83,724.47/x
  3. Step 3: Cross multiply
    115,885.76x = 159,938.55 × 83,724.47
  4. Step 4: Simplify right side
    115,885.76x = 13,390,769,531.63
  5. Step 5: Solve for x
    x = 13,390,769,531.63/115,885.76
  6. Step 6: Final answer
    x = 115,551.47

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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.