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Finding the Fourth Proportional to 194,740.74, 292,108.95 and 105,974.10

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Solution

The fourth proportional to 194,740.74, 292,108.95 and 105,974.10 is: 158,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,740.74 : 292,108.95 = 105,974.10 : x
  2. Step 2: Convert to fraction form
    194,740.74/292,108.95 = 105,974.10/x
  3. Step 3: Cross multiply
    194,740.74x = 292,108.95 × 105,974.10
  4. Step 4: Simplify right side
    194,740.74x = 30,955,983,078.20
  5. Step 5: Solve for x
    x = 30,955,983,078.20/194,740.74
  6. Step 6: Final answer
    x = 158,959.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.