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Finding the Fourth Proportional to 188,800.08, 260,502.28 and 109,266

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Solution

The fourth proportional to 188,800.08, 260,502.28 and 109,266 is: 150,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,800.08 : 260,502.28 = 109,266 : x
  2. Step 2: Convert to fraction form
    188,800.08/260,502.28 = 109,266/x
  3. Step 3: Cross multiply
    188,800.08x = 260,502.28 × 109,266
  4. Step 4: Simplify right side
    188,800.08x = 28,464,042,126.48
  5. Step 5: Solve for x
    x = 28,464,042,126.48/188,800.08
  6. Step 6: Final answer
    x = 150,762.87

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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.