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Finding the Fourth Proportional to 313,080.96, 432,052.80 and 169,842.02

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Solution

The fourth proportional to 313,080.96, 432,052.80 and 169,842.02 is: 234,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,080.96 : 432,052.80 = 169,842.02 : x
  2. Step 2: Convert to fraction form
    313,080.96/432,052.80 = 169,842.02/x
  3. Step 3: Cross multiply
    313,080.96x = 432,052.80 × 169,842.02
  4. Step 4: Simplify right side
    313,080.96x = 73,380,720,298.66
  5. Step 5: Solve for x
    x = 73,380,720,298.66/313,080.96
  6. Step 6: Final answer
    x = 234,382.57

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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.