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Finding the Fourth Proportional to 106,480.86, 146,867.67 and 74,656.86

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Solution

The fourth proportional to 106,480.86, 146,867.67 and 74,656.86 is: 102,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,480.86 : 146,867.67 = 74,656.86 : x
  2. Step 2: Convert to fraction form
    106,480.86/146,867.67 = 74,656.86/x
  3. Step 3: Cross multiply
    106,480.86x = 146,867.67 × 74,656.86
  4. Step 4: Simplify right side
    106,480.86x = 10,964,679,077.72
  5. Step 5: Solve for x
    x = 10,964,679,077.72/106,480.86
  6. Step 6: Final answer
    x = 102,973.24

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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.