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Finding the Fourth Proportional to 268,233.80, 402,350.70 and 102,000.20

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Solution

The fourth proportional to 268,233.80, 402,350.70 and 102,000.20 is: 153,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,233.80 : 402,350.70 = 102,000.20 : x
  2. Step 2: Convert to fraction form
    268,233.80/402,350.70 = 102,000.20/x
  3. Step 3: Cross multiply
    268,233.80x = 402,350.70 × 102,000.20
  4. Step 4: Simplify right side
    268,233.80x = 41,039,851,870.14
  5. Step 5: Solve for x
    x = 41,039,851,870.14/268,233.80
  6. Step 6: Final answer
    x = 153,000.30

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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.