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Finding the Fourth Proportional to 213,017.62, 293,965.30 and 117,524.28

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Solution

The fourth proportional to 213,017.62, 293,965.30 and 117,524.28 is: 162,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,017.62 : 293,965.30 = 117,524.28 : x
  2. Step 2: Convert to fraction form
    213,017.62/293,965.30 = 117,524.28/x
  3. Step 3: Cross multiply
    213,017.62x = 293,965.30 × 117,524.28
  4. Step 4: Simplify right side
    213,017.62x = 34,548,060,227.48
  5. Step 5: Solve for x
    x = 34,548,060,227.48/213,017.62
  6. Step 6: Final answer
    x = 162,184.05

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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.