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Finding the Fourth Proportional to 164,121.76, 246,098.32 and 75,298.64

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Solution

The fourth proportional to 164,121.76, 246,098.32 and 75,298.64 is: 112,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,121.76 : 246,098.32 = 75,298.64 : x
  2. Step 2: Convert to fraction form
    164,121.76/246,098.32 = 75,298.64/x
  3. Step 3: Cross multiply
    164,121.76x = 246,098.32 × 75,298.64
  4. Step 4: Simplify right side
    164,121.76x = 18,530,868,802.28
  5. Step 5: Solve for x
    x = 18,530,868,802.28/164,121.76
  6. Step 6: Final answer
    x = 112,909.27

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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.