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Finding the Fourth Proportional to 226,030.71, 311,965.38 and 149,551.32

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Solution

The fourth proportional to 226,030.71, 311,965.38 and 149,551.32 is: 206,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,030.71 : 311,965.38 = 149,551.32 : x
  2. Step 2: Convert to fraction form
    226,030.71/311,965.38 = 149,551.32/x
  3. Step 3: Cross multiply
    226,030.71x = 311,965.38 × 149,551.32
  4. Step 4: Simplify right side
    226,030.71x = 46,654,834,373.30
  5. Step 5: Solve for x
    x = 46,654,834,373.30/226,030.71
  6. Step 6: Final answer
    x = 206,409.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.