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Finding the Fourth Proportional to 235,464.02, 324,391.19 and 163,719.48

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Solution

The fourth proportional to 235,464.02, 324,391.19 and 163,719.48 is: 225,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,464.02 : 324,391.19 = 163,719.48 : x
  2. Step 2: Convert to fraction form
    235,464.02/324,391.19 = 163,719.48/x
  3. Step 3: Cross multiply
    235,464.02x = 324,391.19 × 163,719.48
  4. Step 4: Simplify right side
    235,464.02x = 53,109,156,124.78
  5. Step 5: Solve for x
    x = 53,109,156,124.78/235,464.02
  6. Step 6: Final answer
    x = 225,551.05

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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.