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Finding the Fourth Proportional to 164,226.95, 226,633.34 and 96,230.38

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Solution

The fourth proportional to 164,226.95, 226,633.34 and 96,230.38 is: 132,798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,226.95 : 226,633.34 = 96,230.38 : x
  2. Step 2: Convert to fraction form
    164,226.95/226,633.34 = 96,230.38/x
  3. Step 3: Cross multiply
    164,226.95x = 226,633.34 × 96,230.38
  4. Step 4: Simplify right side
    164,226.95x = 21,809,012,428.87
  5. Step 5: Solve for x
    x = 21,809,012,428.87/164,226.95
  6. Step 6: Final answer
    x = 132,798.01

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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.