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Finding the Fourth Proportional to 162,232.98, 223,894.54 and 89,642.18

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Solution

The fourth proportional to 162,232.98, 223,894.54 and 89,642.18 is: 123,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,232.98 : 223,894.54 = 89,642.18 : x
  2. Step 2: Convert to fraction form
    162,232.98/223,894.54 = 89,642.18/x
  3. Step 3: Cross multiply
    162,232.98x = 223,894.54 × 89,642.18
  4. Step 4: Simplify right side
    162,232.98x = 20,070,394,655.70
  5. Step 5: Solve for x
    x = 20,070,394,655.70/162,232.98
  6. Step 6: Final answer
    x = 123,713.41

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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.