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Finding the Fourth Proportional to 138,647.12, 191,333.02 and 74,984.91

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Solution

The fourth proportional to 138,647.12, 191,333.02 and 74,984.91 is: 103,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,647.12 : 191,333.02 = 74,984.91 : x
  2. Step 2: Convert to fraction form
    138,647.12/191,333.02 = 74,984.91/x
  3. Step 3: Cross multiply
    138,647.12x = 191,333.02 × 74,984.91
  4. Step 4: Simplify right side
    138,647.12x = 14,347,089,284.73
  5. Step 5: Solve for x
    x = 14,347,089,284.73/138,647.12
  6. Step 6: Final answer
    x = 103,479.17

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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.