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Finding the Fourth Proportional to 231,228.25, 346,842.51 and 65,016.25

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Solution

The fourth proportional to 231,228.25, 346,842.51 and 65,016.25 is: 97,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,228.25 : 346,842.51 = 65,016.25 : x
  2. Step 2: Convert to fraction form
    231,228.25/346,842.51 = 65,016.25/x
  3. Step 3: Cross multiply
    231,228.25x = 346,842.51 × 65,016.25
  4. Step 4: Simplify right side
    231,228.25x = 22,550,399,340.79
  5. Step 5: Solve for x
    x = 22,550,399,340.79/231,228.25
  6. Step 6: Final answer
    x = 97,524.41

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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.