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Finding the Fourth Proportional to 107,222.40, 148,111.20 and 82,382.40

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Solution

The fourth proportional to 107,222.40, 148,111.20 and 82,382.40 is: 113,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,222.40 : 148,111.20 = 82,382.40 : x
  2. Step 2: Convert to fraction form
    107,222.40/148,111.20 = 82,382.40/x
  3. Step 3: Cross multiply
    107,222.40x = 148,111.20 × 82,382.40
  4. Step 4: Simplify right side
    107,222.40x = 12,201,756,122.88
  5. Step 5: Solve for x
    x = 12,201,756,122.88/107,222.40
  6. Step 6: Final answer
    x = 113,798.57

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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.