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Finding the Fourth Proportional to 200,470.48, 276,649.60 and 109,824.46

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Solution

The fourth proportional to 200,470.48, 276,649.60 and 109,824.46 is: 151,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,470.48 : 276,649.60 = 109,824.46 : x
  2. Step 2: Convert to fraction form
    200,470.48/276,649.60 = 109,824.46/x
  3. Step 3: Cross multiply
    200,470.48x = 276,649.60 × 109,824.46
  4. Step 4: Simplify right side
    200,470.48x = 30,382,892,929.22
  5. Step 5: Solve for x
    x = 30,382,892,929.22/200,470.48
  6. Step 6: Final answer
    x = 151,557.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.