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Finding the Fourth Proportional to 106,497.19, 146,901 and 68,243.86

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Solution

The fourth proportional to 106,497.19, 146,901 and 68,243.86 is: 94,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,497.19 : 146,901 = 68,243.86 : x
  2. Step 2: Convert to fraction form
    106,497.19/146,901 = 68,243.86/x
  3. Step 3: Cross multiply
    106,497.19x = 146,901 × 68,243.86
  4. Step 4: Simplify right side
    106,497.19x = 10,025,091,277.86
  5. Step 5: Solve for x
    x = 10,025,091,277.86/106,497.19
  6. Step 6: Final answer
    x = 94,134.80

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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.