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Finding the Fourth Proportional to 272,103.80, 408,048.90 and 103,534.60

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Solution

The fourth proportional to 272,103.80, 408,048.90 and 103,534.60 is: 155,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,103.80 : 408,048.90 = 103,534.60 : x
  2. Step 2: Convert to fraction form
    272,103.80/408,048.90 = 103,534.60/x
  3. Step 3: Cross multiply
    272,103.80x = 408,048.90 × 103,534.60
  4. Step 4: Simplify right side
    272,103.80x = 42,247,179,641.94
  5. Step 5: Solve for x
    x = 42,247,179,641.94/272,103.80
  6. Step 6: Final answer
    x = 155,261.26

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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.