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Finding the Fourth Proportional to 249,793.67, 344,706.74 and 142,398.30

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Solution

The fourth proportional to 249,793.67, 344,706.74 and 142,398.30 is: 196,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,793.67 : 344,706.74 = 142,398.30 : x
  2. Step 2: Convert to fraction form
    249,793.67/344,706.74 = 142,398.30/x
  3. Step 3: Cross multiply
    249,793.67x = 344,706.74 × 142,398.30
  4. Step 4: Simplify right side
    249,793.67x = 49,085,654,889.19
  5. Step 5: Solve for x
    x = 49,085,654,889.19/249,793.67
  6. Step 6: Final answer
    x = 196,504.80

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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.