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Finding the Fourth Proportional to 207,291.46, 286,063.44 and 116,648.94

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Solution

The fourth proportional to 207,291.46, 286,063.44 and 116,648.94 is: 160,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,291.46 : 286,063.44 = 116,648.94 : x
  2. Step 2: Convert to fraction form
    207,291.46/286,063.44 = 116,648.94/x
  3. Step 3: Cross multiply
    207,291.46x = 286,063.44 × 116,648.94
  4. Step 4: Simplify right side
    207,291.46x = 33,368,997,048.75
  5. Step 5: Solve for x
    x = 33,368,997,048.75/207,291.46
  6. Step 6: Final answer
    x = 160,976.23

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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.