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Finding the Fourth Proportional to 272,070.10, 408,106.09 and 82,532.10

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Solution

The fourth proportional to 272,070.10, 408,106.09 and 82,532.10 is: 123,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,070.10 : 408,106.09 = 82,532.10 : x
  2. Step 2: Convert to fraction form
    272,070.10/408,106.09 = 82,532.10/x
  3. Step 3: Cross multiply
    272,070.10x = 408,106.09 × 82,532.10
  4. Step 4: Simplify right side
    272,070.10x = 33,681,852,630.49
  5. Step 5: Solve for x
    x = 33,681,852,630.49/272,070.10
  6. Step 6: Final answer
    x = 123,798.44

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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.