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Finding the Fourth Proportional to 200,774.19, 300,965.45 and 95,564.91

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Solution

The fourth proportional to 200,774.19, 300,965.45 and 95,564.91 is: 143,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,774.19 : 300,965.45 = 95,564.91 : x
  2. Step 2: Convert to fraction form
    200,774.19/300,965.45 = 95,564.91/x
  3. Step 3: Cross multiply
    200,774.19x = 300,965.45 × 95,564.91
  4. Step 4: Simplify right side
    200,774.19x = 28,761,735,664.54
  5. Step 5: Solve for x
    x = 28,761,735,664.54/200,774.19
  6. Step 6: Final answer
    x = 143,254.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.