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Finding the Fourth Proportional to 131,838.44, 181,905.55 and 78,114.17

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Solution

The fourth proportional to 131,838.44, 181,905.55 and 78,114.17 is: 107,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,838.44 : 181,905.55 = 78,114.17 : x
  2. Step 2: Convert to fraction form
    131,838.44/181,905.55 = 78,114.17/x
  3. Step 3: Cross multiply
    131,838.44x = 181,905.55 × 78,114.17
  4. Step 4: Simplify right side
    131,838.44x = 14,209,401,316.12
  5. Step 5: Solve for x
    x = 14,209,401,316.12/131,838.44
  6. Step 6: Final answer
    x = 107,778.90

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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.