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Finding the Fourth Proportional to 268,129.80, 402,194.70 and 101,896.20

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Solution

The fourth proportional to 268,129.80, 402,194.70 and 101,896.20 is: 152,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,129.80 : 402,194.70 = 101,896.20 : x
  2. Step 2: Convert to fraction form
    268,129.80/402,194.70 = 101,896.20/x
  3. Step 3: Cross multiply
    268,129.80x = 402,194.70 × 101,896.20
  4. Step 4: Simplify right side
    268,129.80x = 40,982,111,590.14
  5. Step 5: Solve for x
    x = 40,982,111,590.14/268,129.80
  6. Step 6: Final answer
    x = 152,844.30

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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.