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Finding the Fourth Proportional to 194,952.75, 269,035.65 and 105,528.75

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Solution

The fourth proportional to 194,952.75, 269,035.65 and 105,528.75 is: 145,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,952.75 : 269,035.65 = 105,528.75 : x
  2. Step 2: Convert to fraction form
    194,952.75/269,035.65 = 105,528.75/x
  3. Step 3: Cross multiply
    194,952.75x = 269,035.65 × 105,528.75
  4. Step 4: Simplify right side
    194,952.75x = 28,390,995,849.94
  5. Step 5: Solve for x
    x = 28,390,995,849.94/194,952.75
  6. Step 6: Final answer
    x = 145,630.14

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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.