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Finding the Fourth Proportional to 101,344.16, 152,016.60 and 59,762

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Solution

The fourth proportional to 101,344.16, 152,016.60 and 59,762 is: 89,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,344.16 : 152,016.60 = 59,762 : x
  2. Step 2: Convert to fraction form
    101,344.16/152,016.60 = 59,762/x
  3. Step 3: Cross multiply
    101,344.16x = 152,016.60 × 59,762
  4. Step 4: Simplify right side
    101,344.16x = 9,084,816,049.20
  5. Step 5: Solve for x
    x = 9,084,816,049.20/101,344.16
  6. Step 6: Final answer
    x = 89,643.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.