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Finding the Fourth Proportional to 137,039.98, 205,595.34 and 42,268.02

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Solution

The fourth proportional to 137,039.98, 205,595.34 and 42,268.02 is: 63,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,039.98 : 205,595.34 = 42,268.02 : x
  2. Step 2: Convert to fraction form
    137,039.98/205,595.34 = 42,268.02/x
  3. Step 3: Cross multiply
    137,039.98x = 205,595.34 × 42,268.02
  4. Step 4: Simplify right side
    137,039.98x = 8,690,107,943.03
  5. Step 5: Solve for x
    x = 8,690,107,943.03/137,039.98
  6. Step 6: Final answer
    x = 63,412.94

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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.