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Finding the Fourth Proportional to 231,967.88, 320,269.88 and 178,156.76

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Solution

The fourth proportional to 231,967.88, 320,269.88 and 178,156.76 is: 245,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,967.88 : 320,269.88 = 178,156.76 : x
  2. Step 2: Convert to fraction form
    231,967.88/320,269.88 = 178,156.76/x
  3. Step 3: Cross multiply
    231,967.88x = 320,269.88 × 178,156.76
  4. Step 4: Simplify right side
    231,967.88x = 57,058,244,146.39
  5. Step 5: Solve for x
    x = 57,058,244,146.39/231,967.88
  6. Step 6: Final answer
    x = 245,974.76

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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.