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Finding the Fourth Proportional to 206,141.46, 284,485.71 and 118,894.11

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Solution

The fourth proportional to 206,141.46, 284,485.71 and 118,894.11 is: 164,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,141.46 : 284,485.71 = 118,894.11 : x
  2. Step 2: Convert to fraction form
    206,141.46/284,485.71 = 118,894.11/x
  3. Step 3: Cross multiply
    206,141.46x = 284,485.71 × 118,894.11
  4. Step 4: Simplify right side
    206,141.46x = 33,823,677,077.55
  5. Step 5: Solve for x
    x = 33,823,677,077.55/206,141.46
  6. Step 6: Final answer
    x = 164,079.93

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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.