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Finding the Fourth Proportional to 200,764.80, 300,801.60 and 95,356.80

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Solution

The fourth proportional to 200,764.80, 300,801.60 and 95,356.80 is: 142,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,764.80 : 300,801.60 = 95,356.80 : x
  2. Step 2: Convert to fraction form
    200,764.80/300,801.60 = 95,356.80/x
  3. Step 3: Cross multiply
    200,764.80x = 300,801.60 × 95,356.80
  4. Step 4: Simplify right side
    200,764.80x = 28,683,478,010.88
  5. Step 5: Solve for x
    x = 28,683,478,010.88/200,764.80
  6. Step 6: Final answer
    x = 142,871.05

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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.