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Finding the Fourth Proportional to 102,857.38, 141,886.05 and 59,832.01

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Solution

The fourth proportional to 102,857.38, 141,886.05 and 59,832.01 is: 82,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,857.38 : 141,886.05 = 59,832.01 : x
  2. Step 2: Convert to fraction form
    102,857.38/141,886.05 = 59,832.01/x
  3. Step 3: Cross multiply
    102,857.38x = 141,886.05 × 59,832.01
  4. Step 4: Simplify right side
    102,857.38x = 8,489,327,562.46
  5. Step 5: Solve for x
    x = 8,489,327,562.46/102,857.38
  6. Step 6: Final answer
    x = 82,534.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.