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Finding the Fourth Proportional to 216,364.16, 298,581.78 and 119,565.31

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Solution

The fourth proportional to 216,364.16, 298,581.78 and 119,565.31 is: 164,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,364.16 : 298,581.78 = 119,565.31 : x
  2. Step 2: Convert to fraction form
    216,364.16/298,581.78 = 119,565.31/x
  3. Step 3: Cross multiply
    216,364.16x = 298,581.78 × 119,565.31
  4. Step 4: Simplify right side
    216,364.16x = 35,700,023,086.05
  5. Step 5: Solve for x
    x = 35,700,023,086.05/216,364.16
  6. Step 6: Final answer
    x = 164,999.71

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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.