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Finding the Fourth Proportional to 109,223.76, 163,835.36 and 62,443.82

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Solution

The fourth proportional to 109,223.76, 163,835.36 and 62,443.82 is: 93,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,223.76 : 163,835.36 = 62,443.82 : x
  2. Step 2: Convert to fraction form
    109,223.76/163,835.36 = 62,443.82/x
  3. Step 3: Cross multiply
    109,223.76x = 163,835.36 × 62,443.82
  4. Step 4: Simplify right side
    109,223.76x = 10,230,505,729.48
  5. Step 5: Solve for x
    x = 10,230,505,729.48/109,223.76
  6. Step 6: Final answer
    x = 93,665.57

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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.