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Finding the Fourth Proportional to 216,704.80, 324,729.15 and 146,502.10

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Solution

The fourth proportional to 216,704.80, 324,729.15 and 146,502.10 is: 219,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,704.80 : 324,729.15 = 146,502.10 : x
  2. Step 2: Convert to fraction form
    216,704.80/324,729.15 = 146,502.10/x
  3. Step 3: Cross multiply
    216,704.80x = 324,729.15 × 146,502.10
  4. Step 4: Simplify right side
    216,704.80x = 47,573,502,406.22
  5. Step 5: Solve for x
    x = 47,573,502,406.22/216,704.80
  6. Step 6: Final answer
    x = 219,531.37

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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.