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Finding the Fourth Proportional to 109,714.26, 151,404.80 and 59,413.26

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Solution

The fourth proportional to 109,714.26, 151,404.80 and 59,413.26 is: 81,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,714.26 : 151,404.80 = 59,413.26 : x
  2. Step 2: Convert to fraction form
    109,714.26/151,404.80 = 59,413.26/x
  3. Step 3: Cross multiply
    109,714.26x = 151,404.80 × 59,413.26
  4. Step 4: Simplify right side
    109,714.26x = 8,995,452,747.65
  5. Step 5: Solve for x
    x = 8,995,452,747.65/109,714.26
  6. Step 6: Final answer
    x = 81,989.82

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1.5x scale

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.