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Finding the Fourth Proportional to 232,598.88, 321,015 and 141,952.58

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Solution

The fourth proportional to 232,598.88, 321,015 and 141,952.58 is: 195,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,598.88 : 321,015 = 141,952.58 : x
  2. Step 2: Convert to fraction form
    232,598.88/321,015 = 141,952.58/x
  3. Step 3: Cross multiply
    232,598.88x = 321,015 × 141,952.58
  4. Step 4: Simplify right side
    232,598.88x = 45,568,907,468.70
  5. Step 5: Solve for x
    x = 45,568,907,468.70/232,598.88
  6. Step 6: Final answer
    x = 195,911.98

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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.