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Finding the Fourth Proportional to 138,536.06, 191,181.47 and 78,094.67

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Solution

The fourth proportional to 138,536.06, 191,181.47 and 78,094.67 is: 107,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,536.06 : 191,181.47 = 78,094.67 : x
  2. Step 2: Convert to fraction form
    138,536.06/191,181.47 = 78,094.67/x
  3. Step 3: Cross multiply
    138,536.06x = 191,181.47 × 78,094.67
  4. Step 4: Simplify right side
    138,536.06x = 14,930,252,463.38
  5. Step 5: Solve for x
    x = 14,930,252,463.38/138,536.06
  6. Step 6: Final answer
    x = 107,771.60

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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.