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Finding the Fourth Proportional to 165,894.30, 248,574.15 and 150,147.90

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Solution

The fourth proportional to 165,894.30, 248,574.15 and 150,147.90 is: 224,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,894.30 : 248,574.15 = 150,147.90 : x
  2. Step 2: Convert to fraction form
    165,894.30/248,574.15 = 150,147.90/x
  3. Step 3: Cross multiply
    165,894.30x = 248,574.15 × 150,147.90
  4. Step 4: Simplify right side
    165,894.30x = 37,322,886,616.79
  5. Step 5: Solve for x
    x = 37,322,886,616.79/165,894.30
  6. Step 6: Final answer
    x = 224,979.92

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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.