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Finding the Fourth Proportional to 150,022.80, 224,742.60 and 83,343.60

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Solution

The fourth proportional to 150,022.80, 224,742.60 and 83,343.60 is: 124,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,022.80 : 224,742.60 = 83,343.60 : x
  2. Step 2: Convert to fraction form
    150,022.80/224,742.60 = 83,343.60/x
  3. Step 3: Cross multiply
    150,022.80x = 224,742.60 × 83,343.60
  4. Step 4: Simplify right side
    150,022.80x = 18,730,857,357.36
  5. Step 5: Solve for x
    x = 18,730,857,357.36/150,022.80
  6. Step 6: Final answer
    x = 124,853.40

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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.