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Finding the Fourth Proportional to 223,839.98, 308,804.91 and 148,257.26

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Solution

The fourth proportional to 223,839.98, 308,804.91 and 148,257.26 is: 204,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,839.98 : 308,804.91 = 148,257.26 : x
  2. Step 2: Convert to fraction form
    223,839.98/308,804.91 = 148,257.26/x
  3. Step 3: Cross multiply
    223,839.98x = 308,804.91 × 148,257.26
  4. Step 4: Simplify right side
    223,839.98x = 45,782,569,831.15
  5. Step 5: Solve for x
    x = 45,782,569,831.15/223,839.98
  6. Step 6: Final answer
    x = 204,532.59

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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.