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Finding the Fourth Proportional to 233,727.80, 350,073.30 and 180,966.20

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Solution

The fourth proportional to 233,727.80, 350,073.30 and 180,966.20 is: 271,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,727.80 : 350,073.30 = 180,966.20 : x
  2. Step 2: Convert to fraction form
    233,727.80/350,073.30 = 180,966.20/x
  3. Step 3: Cross multiply
    233,727.80x = 350,073.30 × 180,966.20
  4. Step 4: Simplify right side
    233,727.80x = 63,351,434,822.46
  5. Step 5: Solve for x
    x = 63,351,434,822.46/233,727.80
  6. Step 6: Final answer
    x = 271,047.92

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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.