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Finding the Fourth Proportional to 231,934.84, 347,659.49 and 97,076.22

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Solution

The fourth proportional to 231,934.84, 347,659.49 and 97,076.22 is: 145,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,934.84 : 347,659.49 = 97,076.22 : x
  2. Step 2: Convert to fraction form
    231,934.84/347,659.49 = 97,076.22/x
  3. Step 3: Cross multiply
    231,934.84x = 347,659.49 × 97,076.22
  4. Step 4: Simplify right side
    231,934.84x = 33,749,470,030.88
  5. Step 5: Solve for x
    x = 33,749,470,030.88/231,934.84
  6. Step 6: Final answer
    x = 145,512.72

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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.