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Finding the Fourth Proportional to 105,048.61, 157,441.68 and 67,508.77

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Solution

The fourth proportional to 105,048.61, 157,441.68 and 67,508.77 is: 101,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,048.61 : 157,441.68 = 67,508.77 : x
  2. Step 2: Convert to fraction form
    105,048.61/157,441.68 = 67,508.77/x
  3. Step 3: Cross multiply
    105,048.61x = 157,441.68 × 67,508.77
  4. Step 4: Simplify right side
    105,048.61x = 10,628,694,163.53
  5. Step 5: Solve for x
    x = 10,628,694,163.53/105,048.61
  6. Step 6: Final answer
    x = 101,178.82

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Why These Related Problems?

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