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Finding the Fourth Proportional to 188,574.72, 260,234.24 and 103,697.28

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Solution

The fourth proportional to 188,574.72, 260,234.24 and 103,697.28 is: 143,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,574.72 : 260,234.24 = 103,697.28 : x
  2. Step 2: Convert to fraction form
    188,574.72/260,234.24 = 103,697.28/x
  3. Step 3: Cross multiply
    188,574.72x = 260,234.24 × 103,697.28
  4. Step 4: Simplify right side
    188,574.72x = 26,985,582,850.87
  5. Step 5: Solve for x
    x = 26,985,582,850.87/188,574.72
  6. Step 6: Final answer
    x = 143,102.87

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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.