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Finding the Fourth Proportional to 207,164.64, 285,853.71 and 116,515.20

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Solution

The fourth proportional to 207,164.64, 285,853.71 and 116,515.20 is: 160,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,164.64 : 285,853.71 = 116,515.20 : x
  2. Step 2: Convert to fraction form
    207,164.64/285,853.71 = 116,515.20/x
  3. Step 3: Cross multiply
    207,164.64x = 285,853.71 × 116,515.20
  4. Step 4: Simplify right side
    207,164.64x = 33,306,302,191.39
  5. Step 5: Solve for x
    x = 33,306,302,191.39/207,164.64
  6. Step 6: Final answer
    x = 160,772.14

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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.