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Finding the Fourth Proportional to 137,222.54, 205,805.01 and 38,703.50

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Solution

The fourth proportional to 137,222.54, 205,805.01 and 38,703.50 is: 58,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,222.54 : 205,805.01 = 38,703.50 : x
  2. Step 2: Convert to fraction form
    137,222.54/205,805.01 = 38,703.50/x
  3. Step 3: Cross multiply
    137,222.54x = 205,805.01 × 38,703.50
  4. Step 4: Simplify right side
    137,222.54x = 7,965,374,204.54
  5. Step 5: Solve for x
    x = 7,965,374,204.54/137,222.54
  6. Step 6: Final answer
    x = 58,047.13

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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.