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Finding the Fourth Proportional to 231,697.35, 319,769.28 and 141,106.41

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Solution

The fourth proportional to 231,697.35, 319,769.28 and 141,106.41 is: 194,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,697.35 : 319,769.28 = 141,106.41 : x
  2. Step 2: Convert to fraction form
    231,697.35/319,769.28 = 141,106.41/x
  3. Step 3: Cross multiply
    231,697.35x = 319,769.28 × 141,106.41
  4. Step 4: Simplify right side
    231,697.35x = 45,121,495,129.08
  5. Step 5: Solve for x
    x = 45,121,495,129.08/231,697.35
  6. Step 6: Final answer
    x = 194,743.25

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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.