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Finding the Fourth Proportional to 272,070.60, 408,106.84 and 82,532.60

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Solution

The fourth proportional to 272,070.60, 408,106.84 and 82,532.60 is: 123,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,070.60 : 408,106.84 = 82,532.60 : x
  2. Step 2: Convert to fraction form
    272,070.60/408,106.84 = 82,532.60/x
  3. Step 3: Cross multiply
    272,070.60x = 408,106.84 × 82,532.60
  4. Step 4: Simplify right side
    272,070.60x = 33,682,118,582.98
  5. Step 5: Solve for x
    x = 33,682,118,582.98/272,070.60
  6. Step 6: Final answer
    x = 123,799.19

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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.