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Finding the Fourth Proportional to 141,000, 194,597.28 and 81,384

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Solution

The fourth proportional to 141,000, 194,597.28 and 81,384 is: 112,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,000 : 194,597.28 = 81,384 : x
  2. Step 2: Convert to fraction form
    141,000/194,597.28 = 81,384/x
  3. Step 3: Cross multiply
    141,000x = 194,597.28 × 81,384
  4. Step 4: Simplify right side
    141,000x = 15,837,105,035.52
  5. Step 5: Solve for x
    x = 15,837,105,035.52/141,000
  6. Step 6: Final answer
    x = 112,319.89

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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.