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Finding the Fourth Proportional to 140,964, 194,512.44 and 77,285.04

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Solution

The fourth proportional to 140,964, 194,512.44 and 77,285.04 is: 106,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,964 : 194,512.44 = 77,285.04 : x
  2. Step 2: Convert to fraction form
    140,964/194,512.44 = 77,285.04/x
  3. Step 3: Cross multiply
    140,964x = 194,512.44 × 77,285.04
  4. Step 4: Simplify right side
    140,964x = 15,032,901,705.90
  5. Step 5: Solve for x
    x = 15,032,901,705.90/140,964
  6. Step 6: Final answer
    x = 106,643.55

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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.