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Finding the Fourth Proportional to 206,340.84, 284,800.95 and 125,812.71

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Solution

The fourth proportional to 206,340.84, 284,800.95 and 125,812.71 is: 173,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,340.84 : 284,800.95 = 125,812.71 : x
  2. Step 2: Convert to fraction form
    206,340.84/284,800.95 = 125,812.71/x
  3. Step 3: Cross multiply
    206,340.84x = 284,800.95 × 125,812.71
  4. Step 4: Simplify right side
    206,340.84x = 35,831,579,330.07
  5. Step 5: Solve for x
    x = 35,831,579,330.07/206,340.84
  6. Step 6: Final answer
    x = 173,652.39

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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.