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Finding the Fourth Proportional to 211,246.34, 316,869.74 and 53,474.79

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Solution

The fourth proportional to 211,246.34, 316,869.74 and 53,474.79 is: 80,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,246.34 : 316,869.74 = 53,474.79 : x
  2. Step 2: Convert to fraction form
    211,246.34/316,869.74 = 53,474.79/x
  3. Step 3: Cross multiply
    211,246.34x = 316,869.74 × 53,474.79
  4. Step 4: Simplify right side
    211,246.34x = 16,944,542,803.85
  5. Step 5: Solve for x
    x = 16,944,542,803.85/211,246.34
  6. Step 6: Final answer
    x = 80,212.24

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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.