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Finding the Fourth Proportional to 137,042.08, 205,538.01 and 62,144.21

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Solution

The fourth proportional to 137,042.08, 205,538.01 and 62,144.21 is: 93,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,042.08 : 205,538.01 = 62,144.21 : x
  2. Step 2: Convert to fraction form
    137,042.08/205,538.01 = 62,144.21/x
  3. Step 3: Cross multiply
    137,042.08x = 205,538.01 × 62,144.21
  4. Step 4: Simplify right side
    137,042.08x = 12,772,997,537.23
  5. Step 5: Solve for x
    x = 12,772,997,537.23/137,042.08
  6. Step 6: Final answer
    x = 93,204.93

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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.