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Finding the Fourth Proportional to 220,947.12, 304,810.02 and 149,301

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Solution

The fourth proportional to 220,947.12, 304,810.02 and 149,301 is: 205,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,947.12 : 304,810.02 = 149,301 : x
  2. Step 2: Convert to fraction form
    220,947.12/304,810.02 = 149,301/x
  3. Step 3: Cross multiply
    220,947.12x = 304,810.02 × 149,301
  4. Step 4: Simplify right side
    220,947.12x = 45,508,440,796.02
  5. Step 5: Solve for x
    x = 45,508,440,796.02/220,947.12
  6. Step 6: Final answer
    x = 205,969.83

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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.