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Finding the Fourth Proportional to 105,761.10, 158,497.47 and 53,206.68

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Solution

The fourth proportional to 105,761.10, 158,497.47 and 53,206.68 is: 79,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,761.10 : 158,497.47 = 53,206.68 : x
  2. Step 2: Convert to fraction form
    105,761.10/158,497.47 = 53,206.68/x
  3. Step 3: Cross multiply
    105,761.10x = 158,497.47 × 53,206.68
  4. Step 4: Simplify right side
    105,761.10x = 8,433,124,167.10
  5. Step 5: Solve for x
    x = 8,433,124,167.10/105,761.10
  6. Step 6: Final answer
    x = 79,737.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.