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Finding the Fourth Proportional to 105,918, 146,161.71 and 58,162.02

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Solution

The fourth proportional to 105,918, 146,161.71 and 58,162.02 is: 80,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,918 : 146,161.71 = 58,162.02 : x
  2. Step 2: Convert to fraction form
    105,918/146,161.71 = 58,162.02/x
  3. Step 3: Cross multiply
    105,918x = 146,161.71 × 58,162.02
  4. Step 4: Simplify right side
    105,918x = 8,501,060,300.25
  5. Step 5: Solve for x
    x = 8,501,060,300.25/105,918
  6. Step 6: Final answer
    x = 80,260.77

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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.