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Finding the Fourth Proportional to 170,314.56, 255,209.04 and 107,853.84

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Solution

The fourth proportional to 170,314.56, 255,209.04 and 107,853.84 is: 161,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,314.56 : 255,209.04 = 107,853.84 : x
  2. Step 2: Convert to fraction form
    170,314.56/255,209.04 = 107,853.84/x
  3. Step 3: Cross multiply
    170,314.56x = 255,209.04 × 107,853.84
  4. Step 4: Simplify right side
    170,314.56x = 27,525,274,966.71
  5. Step 5: Solve for x
    x = 27,525,274,966.71/170,314.56
  6. Step 6: Final answer
    x = 161,614.34

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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.