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Finding the Fourth Proportional to 268,002.40, 402,003.60 and 142,031.20

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Solution

The fourth proportional to 268,002.40, 402,003.60 and 142,031.20 is: 213,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,002.40 : 402,003.60 = 142,031.20 : x
  2. Step 2: Convert to fraction form
    268,002.40/402,003.60 = 142,031.20/x
  3. Step 3: Cross multiply
    268,002.40x = 402,003.60 × 142,031.20
  4. Step 4: Simplify right side
    268,002.40x = 57,097,053,712.32
  5. Step 5: Solve for x
    x = 57,097,053,712.32/268,002.40
  6. Step 6: Final answer
    x = 213,046.80

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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.