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Finding the Fourth Proportional to 147,050.20, 202,966.30 and 83,426.20

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Solution

The fourth proportional to 147,050.20, 202,966.30 and 83,426.20 is: 115,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,050.20 : 202,966.30 = 83,426.20 : x
  2. Step 2: Convert to fraction form
    147,050.20/202,966.30 = 83,426.20/x
  3. Step 3: Cross multiply
    147,050.20x = 202,966.30 × 83,426.20
  4. Step 4: Simplify right side
    147,050.20x = 16,932,707,137.06
  5. Step 5: Solve for x
    x = 16,932,707,137.06/147,050.20
  6. Step 6: Final answer
    x = 115,149.16

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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.