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Finding the Fourth Proportional to 204,226.48, 281,790.88 and 119,327.12

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Solution

The fourth proportional to 204,226.48, 281,790.88 and 119,327.12 is: 164,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,226.48 : 281,790.88 = 119,327.12 : x
  2. Step 2: Convert to fraction form
    204,226.48/281,790.88 = 119,327.12/x
  3. Step 3: Cross multiply
    204,226.48x = 281,790.88 × 119,327.12
  4. Step 4: Simplify right side
    204,226.48x = 33,625,294,152.67
  5. Step 5: Solve for x
    x = 33,625,294,152.67/204,226.48
  6. Step 6: Final answer
    x = 164,647.08

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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.