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Finding the Fourth Proportional to 105,947.69, 146,208.80 and 58,202.13

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Solution

The fourth proportional to 105,947.69, 146,208.80 and 58,202.13 is: 80,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,947.69 : 146,208.80 = 58,202.13 : x
  2. Step 2: Convert to fraction form
    105,947.69/146,208.80 = 58,202.13/x
  3. Step 3: Cross multiply
    105,947.69x = 146,208.80 × 58,202.13
  4. Step 4: Simplify right side
    105,947.69x = 8,509,663,293.73
  5. Step 5: Solve for x
    x = 8,509,663,293.73/105,947.69
  6. Step 6: Final answer
    x = 80,319.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.