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Finding the Fourth Proportional to 105,877.54, 158,667 and 58,513.96

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Solution

The fourth proportional to 105,877.54, 158,667 and 58,513.96 is: 87,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,877.54 : 158,667 = 58,513.96 : x
  2. Step 2: Convert to fraction form
    105,877.54/158,667 = 58,513.96/x
  3. Step 3: Cross multiply
    105,877.54x = 158,667 × 58,513.96
  4. Step 4: Simplify right side
    105,877.54x = 9,284,234,491.32
  5. Step 5: Solve for x
    x = 9,284,234,491.32/105,877.54
  6. Step 6: Final answer
    x = 87,688.42

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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.