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Finding the Fourth Proportional to 233,624.25, 350,480.16 and 108,965.25

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Solution

The fourth proportional to 233,624.25, 350,480.16 and 108,965.25 is: 163,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,624.25 : 350,480.16 = 108,965.25 : x
  2. Step 2: Convert to fraction form
    233,624.25/350,480.16 = 108,965.25/x
  3. Step 3: Cross multiply
    233,624.25x = 350,480.16 × 108,965.25
  4. Step 4: Simplify right side
    233,624.25x = 38,190,158,254.44
  5. Step 5: Solve for x
    x = 38,190,158,254.44/233,624.25
  6. Step 6: Final answer
    x = 163,468.30

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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.