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Finding the Fourth Proportional to 140,671.77, 194,127.04 and 77,009.56

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Solution

The fourth proportional to 140,671.77, 194,127.04 and 77,009.56 is: 106,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,671.77 : 194,127.04 = 77,009.56 : x
  2. Step 2: Convert to fraction form
    140,671.77/194,127.04 = 77,009.56/x
  3. Step 3: Cross multiply
    140,671.77x = 194,127.04 × 77,009.56
  4. Step 4: Simplify right side
    140,671.77x = 14,949,638,273.42
  5. Step 5: Solve for x
    x = 14,949,638,273.42/140,671.77
  6. Step 6: Final answer
    x = 106,273.20

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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.