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Finding the Fourth Proportional to 194,953.25, 269,036.34 and 105,529.25

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Solution

The fourth proportional to 194,953.25, 269,036.34 and 105,529.25 is: 145,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,953.25 : 269,036.34 = 105,529.25 : x
  2. Step 2: Convert to fraction form
    194,953.25/269,036.34 = 105,529.25/x
  3. Step 3: Cross multiply
    194,953.25x = 269,036.34 × 105,529.25
  4. Step 4: Simplify right side
    194,953.25x = 28,391,203,182.95
  5. Step 5: Solve for x
    x = 28,391,203,182.95/194,953.25
  6. Step 6: Final answer
    x = 145,630.83

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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.