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Finding the Fourth Proportional to 211,499.52, 317,257.88 and 53,732.04

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Solution

The fourth proportional to 211,499.52, 317,257.88 and 53,732.04 is: 80,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,499.52 : 317,257.88 = 53,732.04 : x
  2. Step 2: Convert to fraction form
    211,499.52/317,257.88 = 53,732.04/x
  3. Step 3: Cross multiply
    211,499.52x = 317,257.88 × 53,732.04
  4. Step 4: Simplify right side
    211,499.52x = 17,046,913,098.48
  5. Step 5: Solve for x
    x = 17,046,913,098.48/211,499.52
  6. Step 6: Final answer
    x = 80,600.24

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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.