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Finding the Fourth Proportional to 200,374.94, 300,582.46 and 74,048.35

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Solution

The fourth proportional to 200,374.94, 300,582.46 and 74,048.35 is: 111,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,374.94 : 300,582.46 = 74,048.35 : x
  2. Step 2: Convert to fraction form
    200,374.94/300,582.46 = 74,048.35/x
  3. Step 3: Cross multiply
    200,374.94x = 300,582.46 × 74,048.35
  4. Step 4: Simplify right side
    200,374.94x = 22,257,635,201.94
  5. Step 5: Solve for x
    x = 22,257,635,201.94/200,374.94
  6. Step 6: Final answer
    x = 111,079.93

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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.