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Finding the Fourth Proportional to 200,590.32, 300,905.46 and 74,264.34

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Solution

The fourth proportional to 200,590.32, 300,905.46 and 74,264.34 is: 111,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,590.32 : 300,905.46 = 74,264.34 : x
  2. Step 2: Convert to fraction form
    200,590.32/300,905.46 = 74,264.34/x
  3. Step 3: Cross multiply
    200,590.32x = 300,905.46 × 74,264.34
  4. Step 4: Simplify right side
    200,590.32x = 22,346,545,389.30
  5. Step 5: Solve for x
    x = 22,346,545,389.30/200,590.32
  6. Step 6: Final answer
    x = 111,403.91

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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.