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Finding the Fourth Proportional to 138,416.94, 190,960.70 and 87,410.64

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Solution

The fourth proportional to 138,416.94, 190,960.70 and 87,410.64 is: 120,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,416.94 : 190,960.70 = 87,410.64 : x
  2. Step 2: Convert to fraction form
    138,416.94/190,960.70 = 87,410.64/x
  3. Step 3: Cross multiply
    138,416.94x = 190,960.70 × 87,410.64
  4. Step 4: Simplify right side
    138,416.94x = 16,691,997,001.85
  5. Step 5: Solve for x
    x = 16,691,997,001.85/138,416.94
  6. Step 6: Final answer
    x = 120,592.15

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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.