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Finding the Fourth Proportional to 249,096.84, 343,752.96 and 135,919.48

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Solution

The fourth proportional to 249,096.84, 343,752.96 and 135,919.48 is: 187,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,096.84 : 343,752.96 = 135,919.48 : x
  2. Step 2: Convert to fraction form
    249,096.84/343,752.96 = 135,919.48/x
  3. Step 3: Cross multiply
    249,096.84x = 343,752.96 × 135,919.48
  4. Step 4: Simplify right side
    249,096.84x = 46,722,723,571.66
  5. Step 5: Solve for x
    x = 46,722,723,571.66/249,096.84
  6. Step 6: Final answer
    x = 187,568.51

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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.