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Finding the Fourth Proportional to 249,108, 343,769.12 and 159,684

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Solution

The fourth proportional to 249,108, 343,769.12 and 159,684 is: 220,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,108 : 343,769.12 = 159,684 : x
  2. Step 2: Convert to fraction form
    249,108/343,769.12 = 159,684/x
  3. Step 3: Cross multiply
    249,108x = 343,769.12 × 159,684
  4. Step 4: Simplify right side
    249,108x = 54,894,428,158.08
  5. Step 5: Solve for x
    x = 54,894,428,158.08/249,108
  6. Step 6: Final answer
    x = 220,363.97

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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.