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Finding the Fourth Proportional to 321,347.19, 482,022.51 and 96,706.10

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Solution

The fourth proportional to 321,347.19, 482,022.51 and 96,706.10 is: 145,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,347.19 : 482,022.51 = 96,706.10 : x
  2. Step 2: Convert to fraction form
    321,347.19/482,022.51 = 96,706.10/x
  3. Step 3: Cross multiply
    321,347.19x = 482,022.51 × 96,706.10
  4. Step 4: Simplify right side
    321,347.19x = 46,614,515,729.31
  5. Step 5: Solve for x
    x = 46,614,515,729.31/321,347.19
  6. Step 6: Final answer
    x = 145,059.66

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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.