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Finding the Fourth Proportional to 138,858.98, 191,625.10 and 75,196.58

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Solution

The fourth proportional to 138,858.98, 191,625.10 and 75,196.58 is: 103,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,858.98 : 191,625.10 = 75,196.58 : x
  2. Step 2: Convert to fraction form
    138,858.98/191,625.10 = 75,196.58/x
  3. Step 3: Cross multiply
    138,858.98x = 191,625.10 × 75,196.58
  4. Step 4: Simplify right side
    138,858.98x = 14,409,552,162.16
  5. Step 5: Solve for x
    x = 14,409,552,162.16/138,858.98
  6. Step 6: Final answer
    x = 103,771.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.