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Finding the Fourth Proportional to 235,807.98, 324,861.75 and 164,064.66

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Solution

The fourth proportional to 235,807.98, 324,861.75 and 164,064.66 is: 226,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,807.98 : 324,861.75 = 164,064.66 : x
  2. Step 2: Convert to fraction form
    235,807.98/324,861.75 = 164,064.66/x
  3. Step 3: Cross multiply
    235,807.98x = 324,861.75 × 164,064.66
  4. Step 4: Simplify right side
    235,807.98x = 53,298,332,560.76
  5. Step 5: Solve for x
    x = 53,298,332,560.76/235,807.98
  6. Step 6: Final answer
    x = 226,024.30

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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.