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Finding the Fourth Proportional to 189,048, 260,886.24 and 104,165.04

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Solution

The fourth proportional to 189,048, 260,886.24 and 104,165.04 is: 143,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,048 : 260,886.24 = 104,165.04 : x
  2. Step 2: Convert to fraction form
    189,048/260,886.24 = 104,165.04/x
  3. Step 3: Cross multiply
    189,048x = 260,886.24 × 104,165.04
  4. Step 4: Simplify right side
    189,048x = 27,175,225,625.05
  5. Step 5: Solve for x
    x = 27,175,225,625.05/189,048
  6. Step 6: Final answer
    x = 143,747.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.