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Finding the Fourth Proportional to 200,852.60, 277,174.17 and 115,967.84

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Solution

The fourth proportional to 200,852.60, 277,174.17 and 115,967.84 is: 160,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,852.60 : 277,174.17 = 115,967.84 : x
  2. Step 2: Convert to fraction form
    200,852.60/277,174.17 = 115,967.84/x
  3. Step 3: Cross multiply
    200,852.60x = 277,174.17 × 115,967.84
  4. Step 4: Simplify right side
    200,852.60x = 32,143,288,412.82
  5. Step 5: Solve for x
    x = 32,143,288,412.82/200,852.60
  6. Step 6: Final answer
    x = 160,034.22

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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.