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Finding the Fourth Proportional to 105,612.13, 145,744.82 and 57,865.69

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Solution

The fourth proportional to 105,612.13, 145,744.82 and 57,865.69 is: 79,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,612.13 : 145,744.82 = 57,865.69 : x
  2. Step 2: Convert to fraction form
    105,612.13/145,744.82 = 57,865.69/x
  3. Step 3: Cross multiply
    105,612.13x = 145,744.82 × 57,865.69
  4. Step 4: Simplify right side
    105,612.13x = 8,433,624,573.23
  5. Step 5: Solve for x
    x = 8,433,624,573.23/105,612.13
  6. Step 6: Final answer
    x = 79,854.70

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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.