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Finding the Fourth Proportional to 233,404.20, 350,057.70 and 100,288.80

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Solution

The fourth proportional to 233,404.20, 350,057.70 and 100,288.80 is: 150,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,404.20 : 350,057.70 = 100,288.80 : x
  2. Step 2: Convert to fraction form
    233,404.20/350,057.70 = 100,288.80/x
  3. Step 3: Cross multiply
    233,404.20x = 350,057.70 × 100,288.80
  4. Step 4: Simplify right side
    233,404.20x = 35,106,866,663.76
  5. Step 5: Solve for x
    x = 35,106,866,663.76/233,404.20
  6. Step 6: Final answer
    x = 150,412.32

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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.