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Finding the Fourth Proportional to 140,780, 194,276.40 and 77,118.06

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Solution

The fourth proportional to 140,780, 194,276.40 and 77,118.06 is: 106,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,780 : 194,276.40 = 77,118.06 : x
  2. Step 2: Convert to fraction form
    140,780/194,276.40 = 77,118.06/x
  3. Step 3: Cross multiply
    140,780x = 194,276.40 × 77,118.06
  4. Step 4: Simplify right side
    140,780x = 14,982,219,071.78
  5. Step 5: Solve for x
    x = 14,982,219,071.78/140,780
  6. Step 6: Final answer
    x = 106,422.92

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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.