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Finding the Fourth Proportional to 268,074.32, 369,946.42 and 147,226.48

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Solution

The fourth proportional to 268,074.32, 369,946.42 and 147,226.48 is: 203,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,074.32 : 369,946.42 = 147,226.48 : x
  2. Step 2: Convert to fraction form
    268,074.32/369,946.42 = 147,226.48/x
  3. Step 3: Cross multiply
    268,074.32x = 369,946.42 × 147,226.48
  4. Step 4: Simplify right side
    268,074.32x = 54,465,909,205.20
  5. Step 5: Solve for x
    x = 54,465,909,205.20/268,074.32
  6. Step 6: Final answer
    x = 203,174.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.