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Finding the Fourth Proportional to 105,920.66, 146,171.52 and 58,175

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Solution

The fourth proportional to 105,920.66, 146,171.52 and 58,175 is: 80,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,920.66 : 146,171.52 = 58,175 : x
  2. Step 2: Convert to fraction form
    105,920.66/146,171.52 = 58,175/x
  3. Step 3: Cross multiply
    105,920.66x = 146,171.52 × 58,175
  4. Step 4: Simplify right side
    105,920.66x = 8,503,528,176.00
  5. Step 5: Solve for x
    x = 8,503,528,176.00/105,920.66
  6. Step 6: Final answer
    x = 80,282.05

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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.