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Finding the Fourth Proportional to 102,859.14, 141,888.46 and 59,833.79

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Solution

The fourth proportional to 102,859.14, 141,888.46 and 59,833.79 is: 82,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,859.14 : 141,888.46 = 59,833.79 : x
  2. Step 2: Convert to fraction form
    102,859.14/141,888.46 = 59,833.79/x
  3. Step 3: Cross multiply
    102,859.14x = 141,888.46 × 59,833.79
  4. Step 4: Simplify right side
    102,859.14x = 8,489,724,319.06
  5. Step 5: Solve for x
    x = 8,489,724,319.06/102,859.14
  6. Step 6: Final answer
    x = 82,537.38

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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.