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Finding the Fourth Proportional to 137,269.10, 205,903.65 and 81,973.10

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Solution

The fourth proportional to 137,269.10, 205,903.65 and 81,973.10 is: 122,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,269.10 : 205,903.65 = 81,973.10 : x
  2. Step 2: Convert to fraction form
    137,269.10/205,903.65 = 81,973.10/x
  3. Step 3: Cross multiply
    137,269.10x = 205,903.65 × 81,973.10
  4. Step 4: Simplify right side
    137,269.10x = 16,878,560,491.82
  5. Step 5: Solve for x
    x = 16,878,560,491.82/137,269.10
  6. Step 6: Final answer
    x = 122,959.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.