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Finding the Fourth Proportional to 104,144, 156,210.24 and 29,269.28

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Solution

The fourth proportional to 104,144, 156,210.24 and 29,269.28 is: 43,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,144 : 156,210.24 = 29,269.28 : x
  2. Step 2: Convert to fraction form
    104,144/156,210.24 = 29,269.28/x
  3. Step 3: Cross multiply
    104,144x = 156,210.24 × 29,269.28
  4. Step 4: Simplify right side
    104,144x = 4,572,161,253.43
  5. Step 5: Solve for x
    x = 4,572,161,253.43/104,144
  6. Step 6: Final answer
    x = 43,902.30

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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.