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Finding the Fourth Proportional to 231,841.89, 319,627.68 and 198,211.64

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Solution

The fourth proportional to 231,841.89, 319,627.68 and 198,211.64 is: 273,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,841.89 : 319,627.68 = 198,211.64 : x
  2. Step 2: Convert to fraction form
    231,841.89/319,627.68 = 198,211.64/x
  3. Step 3: Cross multiply
    231,841.89x = 319,627.68 × 198,211.64
  4. Step 4: Simplify right side
    231,841.89x = 63,353,925,044.06
  5. Step 5: Solve for x
    x = 63,353,925,044.06/231,841.89
  6. Step 6: Final answer
    x = 273,263.49

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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.