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Finding the Fourth Proportional to 321,342.05, 482,080.51 and 96,718.93

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Solution

The fourth proportional to 321,342.05, 482,080.51 and 96,718.93 is: 145,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,342.05 : 482,080.51 = 96,718.93 : x
  2. Step 2: Convert to fraction form
    321,342.05/482,080.51 = 96,718.93/x
  3. Step 3: Cross multiply
    321,342.05x = 482,080.51 × 96,718.93
  4. Step 4: Simplify right side
    321,342.05x = 46,626,310,016.75
  5. Step 5: Solve for x
    x = 46,626,310,016.75/321,342.05
  6. Step 6: Final answer
    x = 145,098.69

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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.