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Finding the Fourth Proportional to 207,678.26, 286,596.26 and 112,184.96

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Solution

The fourth proportional to 207,678.26, 286,596.26 and 112,184.96 is: 154,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,678.26 : 286,596.26 = 112,184.96 : x
  2. Step 2: Convert to fraction form
    207,678.26/286,596.26 = 112,184.96/x
  3. Step 3: Cross multiply
    207,678.26x = 286,596.26 × 112,184.96
  4. Step 4: Simplify right side
    207,678.26x = 32,151,790,104.48
  5. Step 5: Solve for x
    x = 32,151,790,104.48/207,678.26
  6. Step 6: Final answer
    x = 154,815.38

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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.