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Finding the Fourth Proportional to 200,424.78, 300,714.93 and 75,775.50

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Solution

The fourth proportional to 200,424.78, 300,714.93 and 75,775.50 is: 113,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,424.78 : 300,714.93 = 75,775.50 : x
  2. Step 2: Convert to fraction form
    200,424.78/300,714.93 = 75,775.50/x
  3. Step 3: Cross multiply
    200,424.78x = 300,714.93 × 75,775.50
  4. Step 4: Simplify right side
    200,424.78x = 22,786,824,178.22
  5. Step 5: Solve for x
    x = 22,786,824,178.22/200,424.78
  6. Step 6: Final answer
    x = 113,692.65

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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.