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Finding the Fourth Proportional to 131,886.77, 181,983.18 and 78,163.11

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Solution

The fourth proportional to 131,886.77, 181,983.18 and 78,163.11 is: 107,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,886.77 : 181,983.18 = 78,163.11 : x
  2. Step 2: Convert to fraction form
    131,886.77/181,983.18 = 78,163.11/x
  3. Step 3: Cross multiply
    131,886.77x = 181,983.18 × 78,163.11
  4. Step 4: Simplify right side
    131,886.77x = 14,224,371,316.49
  5. Step 5: Solve for x
    x = 14,224,371,316.49/131,886.77
  6. Step 6: Final answer
    x = 107,852.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.