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Finding the Fourth Proportional to 140,780.94, 194,278.02 and 77,119

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Solution

The fourth proportional to 140,780.94, 194,278.02 and 77,119 is: 106,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,780.94 : 194,278.02 = 77,119 : x
  2. Step 2: Convert to fraction form
    140,780.94/194,278.02 = 77,119/x
  3. Step 3: Cross multiply
    140,780.94x = 194,278.02 × 77,119
  4. Step 4: Simplify right side
    140,780.94x = 14,982,526,624.38
  5. Step 5: Solve for x
    x = 14,982,526,624.38/140,780.94
  6. Step 6: Final answer
    x = 106,424.40

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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.