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Finding the Fourth Proportional to 137,063.68, 189,155.10 and 83,339.80

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Solution

The fourth proportional to 137,063.68, 189,155.10 and 83,339.80 is: 115,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,063.68 : 189,155.10 = 83,339.80 : x
  2. Step 2: Convert to fraction form
    137,063.68/189,155.10 = 83,339.80/x
  3. Step 3: Cross multiply
    137,063.68x = 189,155.10 × 83,339.80
  4. Step 4: Simplify right side
    137,063.68x = 15,764,148,202.98
  5. Step 5: Solve for x
    x = 15,764,148,202.98/137,063.68
  6. Step 6: Final answer
    x = 115,013.32

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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.