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Finding the Fourth Proportional to 138,561.98, 191,199.28 and 78,129.02

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Solution

The fourth proportional to 138,561.98, 191,199.28 and 78,129.02 is: 107,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,561.98 : 191,199.28 = 78,129.02 : x
  2. Step 2: Convert to fraction form
    138,561.98/191,199.28 = 78,129.02/x
  3. Step 3: Cross multiply
    138,561.98x = 191,199.28 × 78,129.02
  4. Step 4: Simplify right side
    138,561.98x = 14,938,212,371.11
  5. Step 5: Solve for x
    x = 14,938,212,371.11/138,561.98
  6. Step 6: Final answer
    x = 107,808.88

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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.