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Finding the Fourth Proportional to 138,027.42, 190,484.61 and 77,617.08

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Solution

The fourth proportional to 138,027.42, 190,484.61 and 77,617.08 is: 107,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,027.42 : 190,484.61 = 77,617.08 : x
  2. Step 2: Convert to fraction form
    138,027.42/190,484.61 = 77,617.08/x
  3. Step 3: Cross multiply
    138,027.42x = 190,484.61 × 77,617.08
  4. Step 4: Simplify right side
    138,027.42x = 14,784,859,213.14
  5. Step 5: Solve for x
    x = 14,784,859,213.14/138,027.42
  6. Step 6: Final answer
    x = 107,115.38

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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.