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Finding the Fourth Proportional to 140,873.45, 194,404.95 and 76,344.46

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Solution

The fourth proportional to 140,873.45, 194,404.95 and 76,344.46 is: 105,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,873.45 : 194,404.95 = 76,344.46 : x
  2. Step 2: Convert to fraction form
    140,873.45/194,404.95 = 76,344.46/x
  3. Step 3: Cross multiply
    140,873.45x = 194,404.95 × 76,344.46
  4. Step 4: Simplify right side
    140,873.45x = 14,841,740,443.06
  5. Step 5: Solve for x
    x = 14,841,740,443.06/140,873.45
  6. Step 6: Final answer
    x = 105,355.13

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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.