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Finding the Fourth Proportional to 233,400.20, 349,970.70 and 100,257.80

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Solution

The fourth proportional to 233,400.20, 349,970.70 and 100,257.80 is: 150,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,400.20 : 349,970.70 = 100,257.80 : x
  2. Step 2: Convert to fraction form
    233,400.20/349,970.70 = 100,257.80/x
  3. Step 3: Cross multiply
    233,400.20x = 349,970.70 × 100,257.80
  4. Step 4: Simplify right side
    233,400.20x = 35,087,292,446.46
  5. Step 5: Solve for x
    x = 35,087,292,446.46/233,400.20
  6. Step 6: Final answer
    x = 150,331.03

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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.