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Finding the Fourth Proportional to 107,020.96, 147,687.42 and 61,699.02

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Solution

The fourth proportional to 107,020.96, 147,687.42 and 61,699.02 is: 85,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,020.96 : 147,687.42 = 61,699.02 : x
  2. Step 2: Convert to fraction form
    107,020.96/147,687.42 = 61,699.02/x
  3. Step 3: Cross multiply
    107,020.96x = 147,687.42 × 61,699.02
  4. Step 4: Simplify right side
    107,020.96x = 9,112,169,080.33
  5. Step 5: Solve for x
    x = 9,112,169,080.33/107,020.96
  6. Step 6: Final answer
    x = 85,143.78

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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.