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Finding the Fourth Proportional to 207,282.94, 286,051.70 and 116,640.43

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Solution

The fourth proportional to 207,282.94, 286,051.70 and 116,640.43 is: 160,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,282.94 : 286,051.70 = 116,640.43 : x
  2. Step 2: Convert to fraction form
    207,282.94/286,051.70 = 116,640.43/x
  3. Step 3: Cross multiply
    207,282.94x = 286,051.70 × 116,640.43
  4. Step 4: Simplify right side
    207,282.94x = 33,365,193,290.23
  5. Step 5: Solve for x
    x = 33,365,193,290.23/207,282.94
  6. Step 6: Final answer
    x = 160,964.49

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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.