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Finding the Fourth Proportional to 102,857.50, 141,886.19 and 59,832.15

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Solution

The fourth proportional to 102,857.50, 141,886.19 and 59,832.15 is: 82,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,857.50 : 141,886.19 = 59,832.15 : x
  2. Step 2: Convert to fraction form
    102,857.50/141,886.19 = 59,832.15/x
  3. Step 3: Cross multiply
    102,857.50x = 141,886.19 × 59,832.15
  4. Step 4: Simplify right side
    102,857.50x = 8,489,356,218.63
  5. Step 5: Solve for x
    x = 8,489,356,218.63/102,857.50
  6. Step 6: Final answer
    x = 82,535.12

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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.