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Finding the Fourth Proportional to 211,394.81, 317,097.99 and 61,631.48

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Solution

The fourth proportional to 211,394.81, 317,097.99 and 61,631.48 is: 92,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,394.81 : 317,097.99 = 61,631.48 : x
  2. Step 2: Convert to fraction form
    211,394.81/317,097.99 = 61,631.48/x
  3. Step 3: Cross multiply
    211,394.81x = 317,097.99 × 61,631.48
  4. Step 4: Simplify right side
    211,394.81x = 19,543,219,221.47
  5. Step 5: Solve for x
    x = 19,543,219,221.47/211,394.81
  6. Step 6: Final answer
    x = 92,448.91

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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.