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Finding the Fourth Proportional to 200,031.20, 300,046.80 and 178,258.40

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Solution

The fourth proportional to 200,031.20, 300,046.80 and 178,258.40 is: 267,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,031.20 : 300,046.80 = 178,258.40 : x
  2. Step 2: Convert to fraction form
    200,031.20/300,046.80 = 178,258.40/x
  3. Step 3: Cross multiply
    200,031.20x = 300,046.80 × 178,258.40
  4. Step 4: Simplify right side
    200,031.20x = 53,485,862,493.12
  5. Step 5: Solve for x
    x = 53,485,862,493.12/200,031.20
  6. Step 6: Final answer
    x = 267,387.60

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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.