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Finding the Fourth Proportional to 249,015.44, 343,640.90 and 135,838.20

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Solution

The fourth proportional to 249,015.44, 343,640.90 and 135,838.20 is: 187,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,015.44 : 343,640.90 = 135,838.20 : x
  2. Step 2: Convert to fraction form
    249,015.44/343,640.90 = 135,838.20/x
  3. Step 3: Cross multiply
    249,015.44x = 343,640.90 × 135,838.20
  4. Step 4: Simplify right side
    249,015.44x = 46,679,561,302.38
  5. Step 5: Solve for x
    x = 46,679,561,302.38/249,015.44
  6. Step 6: Final answer
    x = 187,456.49

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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.