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Finding the Fourth Proportional to 102,261.76, 141,159.72 and 59,833.96

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Solution

The fourth proportional to 102,261.76, 141,159.72 and 59,833.96 is: 82,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,261.76 : 141,159.72 = 59,833.96 : x
  2. Step 2: Convert to fraction form
    102,261.76/141,159.72 = 59,833.96/x
  3. Step 3: Cross multiply
    102,261.76x = 141,159.72 × 59,833.96
  4. Step 4: Simplify right side
    102,261.76x = 8,446,145,040.09
  5. Step 5: Solve for x
    x = 8,446,145,040.09/102,261.76
  6. Step 6: Final answer
    x = 82,593.39

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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.