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Finding the Fourth Proportional to 180,117.44, 270,253.92 and 96,994.88

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Solution

The fourth proportional to 180,117.44, 270,253.92 and 96,994.88 is: 145,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,117.44 : 270,253.92 = 96,994.88 : x
  2. Step 2: Convert to fraction form
    180,117.44/270,253.92 = 96,994.88/x
  3. Step 3: Cross multiply
    180,117.44x = 270,253.92 × 96,994.88
  4. Step 4: Simplify right side
    180,117.44x = 26,213,246,539.93
  5. Step 5: Solve for x
    x = 26,213,246,539.93/180,117.44
  6. Step 6: Final answer
    x = 145,534.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.