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Finding the Fourth Proportional to 200,472.62, 300,498.35 and 74,032.27

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Solution

The fourth proportional to 200,472.62, 300,498.35 and 74,032.27 is: 110,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,472.62 : 300,498.35 = 74,032.27 : x
  2. Step 2: Convert to fraction form
    200,472.62/300,498.35 = 74,032.27/x
  3. Step 3: Cross multiply
    200,472.62x = 300,498.35 × 74,032.27
  4. Step 4: Simplify right side
    200,472.62x = 22,246,573,860.35
  5. Step 5: Solve for x
    x = 22,246,573,860.35/200,472.62
  6. Step 6: Final answer
    x = 110,970.64

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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.