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Finding the Fourth Proportional to 141,094.34, 194,713.98 and 77,434.40

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Solution

The fourth proportional to 141,094.34, 194,713.98 and 77,434.40 is: 106,861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,094.34 : 194,713.98 = 77,434.40 : x
  2. Step 2: Convert to fraction form
    141,094.34/194,713.98 = 77,434.40/x
  3. Step 3: Cross multiply
    141,094.34x = 194,713.98 × 77,434.40
  4. Step 4: Simplify right side
    141,094.34x = 15,077,560,212.91
  5. Step 5: Solve for x
    x = 15,077,560,212.91/141,094.34
  6. Step 6: Final answer
    x = 106,861.55

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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.