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Finding the Fourth Proportional to 139,094.40, 191,936.16 and 85,381.68

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Solution

The fourth proportional to 139,094.40, 191,936.16 and 85,381.68 is: 117,818.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,094.40 : 191,936.16 = 85,381.68 : x
  2. Step 2: Convert to fraction form
    139,094.40/191,936.16 = 85,381.68/x
  3. Step 3: Cross multiply
    139,094.40x = 191,936.16 × 85,381.68
  4. Step 4: Simplify right side
    139,094.40x = 16,387,831,793.55
  5. Step 5: Solve for x
    x = 16,387,831,793.55/139,094.40
  6. Step 6: Final answer
    x = 117,818.06

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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.