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Finding the Fourth Proportional to 138,430.88, 191,036.40 and 81,841.76

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Solution

The fourth proportional to 138,430.88, 191,036.40 and 81,841.76 is: 112,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,430.88 : 191,036.40 = 81,841.76 : x
  2. Step 2: Convert to fraction form
    138,430.88/191,036.40 = 81,841.76/x
  3. Step 3: Cross multiply
    138,430.88x = 191,036.40 × 81,841.76
  4. Step 4: Simplify right side
    138,430.88x = 15,634,755,200.06
  5. Step 5: Solve for x
    x = 15,634,755,200.06/138,430.88
  6. Step 6: Final answer
    x = 112,942.68

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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.