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Finding the Fourth Proportional to 107,183.25, 147,918.80 and 59,435.58

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Solution

The fourth proportional to 107,183.25, 147,918.80 and 59,435.58 is: 82,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,183.25 : 147,918.80 = 59,435.58 : x
  2. Step 2: Convert to fraction form
    107,183.25/147,918.80 = 59,435.58/x
  3. Step 3: Cross multiply
    107,183.25x = 147,918.80 × 59,435.58
  4. Step 4: Simplify right side
    107,183.25x = 8,791,639,670.90
  5. Step 5: Solve for x
    x = 8,791,639,670.90/107,183.25
  6. Step 6: Final answer
    x = 82,024.38

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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.