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Finding the Fourth Proportional to 105,511.87, 145,606.80 and 57,769.66

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Solution

The fourth proportional to 105,511.87, 145,606.80 and 57,769.66 is: 79,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,511.87 : 145,606.80 = 57,769.66 : x
  2. Step 2: Convert to fraction form
    105,511.87/145,606.80 = 57,769.66/x
  3. Step 3: Cross multiply
    105,511.87x = 145,606.80 × 57,769.66
  4. Step 4: Simplify right side
    105,511.87x = 8,411,655,182.31
  5. Step 5: Solve for x
    x = 8,411,655,182.31/105,511.87
  6. Step 6: Final answer
    x = 79,722.36

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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.