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Finding the Fourth Proportional to 100,948.80, 151,423.20 and 100,257.60

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Solution

The fourth proportional to 100,948.80, 151,423.20 and 100,257.60 is: 150,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948.80 : 151,423.20 = 100,257.60 : x
  2. Step 2: Convert to fraction form
    100,948.80/151,423.20 = 100,257.60/x
  3. Step 3: Cross multiply
    100,948.80x = 151,423.20 × 100,257.60
  4. Step 4: Simplify right side
    100,948.80x = 15,181,326,616.32
  5. Step 5: Solve for x
    x = 15,181,326,616.32/100,948.80
  6. Step 6: Final answer
    x = 150,386.40

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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.