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Finding the Fourth Proportional to 249,658.81, 344,504.44 and 142,222.43

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Solution

The fourth proportional to 249,658.81, 344,504.44 and 142,222.43 is: 196,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,658.81 : 344,504.44 = 142,222.43 : x
  2. Step 2: Convert to fraction form
    249,658.81/344,504.44 = 142,222.43/x
  3. Step 3: Cross multiply
    249,658.81x = 344,504.44 × 142,222.43
  4. Step 4: Simplify right side
    249,658.81x = 48,996,259,641.63
  5. Step 5: Solve for x
    x = 48,996,259,641.63/249,658.81
  6. Step 6: Final answer
    x = 196,252.88

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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.