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Finding the Fourth Proportional to 216,463.32, 324,700.65 and 102,584.48

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Solution

The fourth proportional to 216,463.32, 324,700.65 and 102,584.48 is: 153,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,463.32 : 324,700.65 = 102,584.48 : x
  2. Step 2: Convert to fraction form
    216,463.32/324,700.65 = 102,584.48/x
  3. Step 3: Cross multiply
    216,463.32x = 324,700.65 × 102,584.48
  4. Step 4: Simplify right side
    216,463.32x = 33,309,245,712.41
  5. Step 5: Solve for x
    x = 33,309,245,712.41/216,463.32
  6. Step 6: Final answer
    x = 153,879.40

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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.