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Finding the Fourth Proportional to 155,233.78, 232,893.51 and 61,805.14

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Solution

The fourth proportional to 155,233.78, 232,893.51 and 61,805.14 is: 92,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,233.78 : 232,893.51 = 61,805.14 : x
  2. Step 2: Convert to fraction form
    155,233.78/232,893.51 = 61,805.14/x
  3. Step 3: Cross multiply
    155,233.78x = 232,893.51 × 61,805.14
  4. Step 4: Simplify right side
    155,233.78x = 14,394,015,990.64
  5. Step 5: Solve for x
    x = 14,394,015,990.64/155,233.78
  6. Step 6: Final answer
    x = 92,724.77

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Why These Related Problems?

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