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Finding the Fourth Proportional to 102,858.50, 141,887.57 and 59,833.15

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Solution

The fourth proportional to 102,858.50, 141,887.57 and 59,833.15 is: 82,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,858.50 : 141,887.57 = 59,833.15 : x
  2. Step 2: Convert to fraction form
    102,858.50/141,887.57 = 59,833.15/x
  3. Step 3: Cross multiply
    102,858.50x = 141,887.57 × 59,833.15
  4. Step 4: Simplify right side
    102,858.50x = 8,489,580,258.95
  5. Step 5: Solve for x
    x = 8,489,580,258.95/102,858.50
  6. Step 6: Final answer
    x = 82,536.50

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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.