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Finding the Fourth Proportional to 265,107.90, 365,728.02 and 157,616.84

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Solution

The fourth proportional to 265,107.90, 365,728.02 and 157,616.84 is: 217,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,107.90 : 365,728.02 = 157,616.84 : x
  2. Step 2: Convert to fraction form
    265,107.90/365,728.02 = 157,616.84/x
  3. Step 3: Cross multiply
    265,107.90x = 365,728.02 × 157,616.84
  4. Step 4: Simplify right side
    265,107.90x = 57,644,894,811.86
  5. Step 5: Solve for x
    x = 57,644,894,811.86/265,107.90
  6. Step 6: Final answer
    x = 217,439.37

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1.5x scale

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.