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Finding the Fourth Proportional to 200,464.77, 300,377.28 and 146,908.53

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Solution

The fourth proportional to 200,464.77, 300,377.28 and 146,908.53 is: 220,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,464.77 : 300,377.28 = 146,908.53 : x
  2. Step 2: Convert to fraction form
    200,464.77/300,377.28 = 146,908.53/x
  3. Step 3: Cross multiply
    200,464.77x = 300,377.28 × 146,908.53
  4. Step 4: Simplify right side
    200,464.77x = 44,127,984,650.20
  5. Step 5: Solve for x
    x = 44,127,984,650.20/200,464.77
  6. Step 6: Final answer
    x = 220,128.38

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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.