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Finding the Fourth Proportional to 233,164.80, 349,747.20 and 100,022.40

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Solution

The fourth proportional to 233,164.80, 349,747.20 and 100,022.40 is: 150,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,164.80 : 349,747.20 = 100,022.40 : x
  2. Step 2: Convert to fraction form
    233,164.80/349,747.20 = 100,022.40/x
  3. Step 3: Cross multiply
    233,164.80x = 349,747.20 × 100,022.40
  4. Step 4: Simplify right side
    233,164.80x = 34,982,554,337.28
  5. Step 5: Solve for x
    x = 34,982,554,337.28/233,164.80
  6. Step 6: Final answer
    x = 150,033.60

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1.5x scale

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.