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Finding the Fourth Proportional to 206,282, 284,669.16 and 116,858

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Solution

The fourth proportional to 206,282, 284,669.16 and 116,858 is: 161,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,282 : 284,669.16 = 116,858 : x
  2. Step 2: Convert to fraction form
    206,282/284,669.16 = 116,858/x
  3. Step 3: Cross multiply
    206,282x = 284,669.16 × 116,858
  4. Step 4: Simplify right side
    206,282x = 33,265,868,699.28
  5. Step 5: Solve for x
    x = 33,265,868,699.28/206,282
  6. Step 6: Final answer
    x = 161,264.04

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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.