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Finding the Fourth Proportional to 203,820.59, 281,209.34 and 117,748.16

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Solution

The fourth proportional to 203,820.59, 281,209.34 and 117,748.16 is: 162,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,820.59 : 281,209.34 = 117,748.16 : x
  2. Step 2: Convert to fraction form
    203,820.59/281,209.34 = 117,748.16/x
  3. Step 3: Cross multiply
    203,820.59x = 281,209.34 × 117,748.16
  4. Step 4: Simplify right side
    203,820.59x = 33,111,880,365.03
  5. Step 5: Solve for x
    x = 33,111,880,365.03/203,820.59
  6. Step 6: Final answer
    x = 162,456.02

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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.