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Finding the Fourth Proportional to 295,103.56, 407,244.20 and 160,970.44

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Solution

The fourth proportional to 295,103.56, 407,244.20 and 160,970.44 is: 222,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,103.56 : 407,244.20 = 160,970.44 : x
  2. Step 2: Convert to fraction form
    295,103.56/407,244.20 = 160,970.44/x
  3. Step 3: Cross multiply
    295,103.56x = 407,244.20 × 160,970.44
  4. Step 4: Simplify right side
    295,103.56x = 65,554,278,061.45
  5. Step 5: Solve for x
    x = 65,554,278,061.45/295,103.56
  6. Step 6: Final answer
    x = 222,139.91

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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.