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Finding the Fourth Proportional to 249,716.71, 344,642.79 and 140,843.40

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Solution

The fourth proportional to 249,716.71, 344,642.79 and 140,843.40 is: 194,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,716.71 : 344,642.79 = 140,843.40 : x
  2. Step 2: Convert to fraction form
    249,716.71/344,642.79 = 140,843.40/x
  3. Step 3: Cross multiply
    249,716.71x = 344,642.79 × 140,843.40
  4. Step 4: Simplify right side
    249,716.71x = 48,540,662,329.09
  5. Step 5: Solve for x
    x = 48,540,662,329.09/249,716.71
  6. Step 6: Final answer
    x = 194,382.92

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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.