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Finding the Fourth Proportional to 188,798.08, 260,499.52 and 109,264

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Solution

The fourth proportional to 188,798.08, 260,499.52 and 109,264 is: 150,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,798.08 : 260,499.52 = 109,264 : x
  2. Step 2: Convert to fraction form
    188,798.08/260,499.52 = 109,264/x
  3. Step 3: Cross multiply
    188,798.08x = 260,499.52 × 109,264
  4. Step 4: Simplify right side
    188,798.08x = 28,463,219,553.28
  5. Step 5: Solve for x
    x = 28,463,219,553.28/188,798.08
  6. Step 6: Final answer
    x = 150,760.11

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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.