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Finding the Fourth Proportional to 249,046.62, 343,684 and 135,869.38

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Solution

The fourth proportional to 249,046.62, 343,684 and 135,869.38 is: 187,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,046.62 : 343,684 = 135,869.38 : x
  2. Step 2: Convert to fraction form
    249,046.62/343,684 = 135,869.38/x
  3. Step 3: Cross multiply
    249,046.62x = 343,684 × 135,869.38
  4. Step 4: Simplify right side
    249,046.62x = 46,696,131,995.92
  5. Step 5: Solve for x
    x = 46,696,131,995.92/249,046.62
  6. Step 6: Final answer
    x = 187,499.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.