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Finding the Fourth Proportional to 105,854.80, 146,081.28 and 58,112.50

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Solution

The fourth proportional to 105,854.80, 146,081.28 and 58,112.50 is: 80,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,854.80 : 146,081.28 = 58,112.50 : x
  2. Step 2: Convert to fraction form
    105,854.80/146,081.28 = 58,112.50/x
  3. Step 3: Cross multiply
    105,854.80x = 146,081.28 × 58,112.50
  4. Step 4: Simplify right side
    105,854.80x = 8,489,148,384
  5. Step 5: Solve for x
    x = 8,489,148,384/105,854.80
  6. Step 6: Final answer
    x = 80,196.16

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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.