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Finding the Fourth Proportional to 164,301, 226,735.38 and 88,849.50

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Solution

The fourth proportional to 164,301, 226,735.38 and 88,849.50 is: 122,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,301 : 226,735.38 = 88,849.50 : x
  2. Step 2: Convert to fraction form
    164,301/226,735.38 = 88,849.50/x
  3. Step 3: Cross multiply
    164,301x = 226,735.38 × 88,849.50
  4. Step 4: Simplify right side
    164,301x = 20,145,325,145.31
  5. Step 5: Solve for x
    x = 20,145,325,145.31/164,301
  6. Step 6: Final answer
    x = 122,612.31

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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.