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Finding the Fourth Proportional to 101,854.65, 140,576.31 and 59,413.26

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Solution

The fourth proportional to 101,854.65, 140,576.31 and 59,413.26 is: 82,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,854.65 : 140,576.31 = 59,413.26 : x
  2. Step 2: Convert to fraction form
    101,854.65/140,576.31 = 59,413.26/x
  3. Step 3: Cross multiply
    101,854.65x = 140,576.31 × 59,413.26
  4. Step 4: Simplify right side
    101,854.65x = 8,352,096,855.87
  5. Step 5: Solve for x
    x = 8,352,096,855.87/101,854.65
  6. Step 6: Final answer
    x = 82,000.15

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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.