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Finding the Fourth Proportional to 211,937.36, 317,935.56 and 71,658.32

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Solution

The fourth proportional to 211,937.36, 317,935.56 and 71,658.32 is: 107,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,937.36 : 317,935.56 = 71,658.32 : x
  2. Step 2: Convert to fraction form
    211,937.36/317,935.56 = 71,658.32/x
  3. Step 3: Cross multiply
    211,937.36x = 317,935.56 × 71,658.32
  4. Step 4: Simplify right side
    211,937.36x = 22,782,728,097.86
  5. Step 5: Solve for x
    x = 22,782,728,097.86/211,937.36
  6. Step 6: Final answer
    x = 107,497.46

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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.