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Finding the Fourth Proportional to 233,726.80, 350,071.80 and 180,965.20

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Solution

The fourth proportional to 233,726.80, 350,071.80 and 180,965.20 is: 271,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,726.80 : 350,071.80 = 180,965.20 : x
  2. Step 2: Convert to fraction form
    233,726.80/350,071.80 = 180,965.20/x
  3. Step 3: Cross multiply
    233,726.80x = 350,071.80 × 180,965.20
  4. Step 4: Simplify right side
    233,726.80x = 63,350,813,301.36
  5. Step 5: Solve for x
    x = 63,350,813,301.36/233,726.80
  6. Step 6: Final answer
    x = 271,046.42

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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.