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Finding the Fourth Proportional to 160,129.50, 240,272.28 and 107,435.22

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Solution

The fourth proportional to 160,129.50, 240,272.28 and 107,435.22 is: 161,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,129.50 : 240,272.28 = 107,435.22 : x
  2. Step 2: Convert to fraction form
    160,129.50/240,272.28 = 107,435.22/x
  3. Step 3: Cross multiply
    160,129.50x = 240,272.28 × 107,435.22
  4. Step 4: Simplify right side
    160,129.50x = 25,813,705,261.70
  5. Step 5: Solve for x
    x = 25,813,705,261.70/160,129.50
  6. Step 6: Final answer
    x = 161,205.18

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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.