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Finding the Fourth Proportional to 141,073.34, 194,693.30 and 77,423.44

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Solution

The fourth proportional to 141,073.34, 194,693.30 and 77,423.44 is: 106,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,073.34 : 194,693.30 = 77,423.44 : x
  2. Step 2: Convert to fraction form
    141,073.34/194,693.30 = 77,423.44/x
  3. Step 3: Cross multiply
    141,073.34x = 194,693.30 × 77,423.44
  4. Step 4: Simplify right side
    141,073.34x = 15,073,825,030.95
  5. Step 5: Solve for x
    x = 15,073,825,030.95/141,073.34
  6. Step 6: Final answer
    x = 106,850.98

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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.