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Finding the Fourth Proportional to 208,002.20, 312,003.30 and 102,799.40

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Solution

The fourth proportional to 208,002.20, 312,003.30 and 102,799.40 is: 154,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,002.20 : 312,003.30 = 102,799.40 : x
  2. Step 2: Convert to fraction form
    208,002.20/312,003.30 = 102,799.40/x
  3. Step 3: Cross multiply
    208,002.20x = 312,003.30 × 102,799.40
  4. Step 4: Simplify right side
    208,002.20x = 32,073,752,038.02
  5. Step 5: Solve for x
    x = 32,073,752,038.02/208,002.20
  6. Step 6: Final answer
    x = 154,199.10

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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.