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Finding the Fourth Proportional to 231,647.83, 319,674.14 and 129,673.49

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Solution

The fourth proportional to 231,647.83, 319,674.14 and 129,673.49 is: 178,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,647.83 : 319,674.14 = 129,673.49 : x
  2. Step 2: Convert to fraction form
    231,647.83/319,674.14 = 129,673.49/x
  3. Step 3: Cross multiply
    231,647.83x = 319,674.14 × 129,673.49
  4. Step 4: Simplify right side
    231,647.83x = 41,453,261,396.55
  5. Step 5: Solve for x
    x = 41,453,261,396.55/231,647.83
  6. Step 6: Final answer
    x = 178,949.49

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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.