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Finding the Fourth Proportional to 138,430.38, 191,035.71 and 81,841.26

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Solution

The fourth proportional to 138,430.38, 191,035.71 and 81,841.26 is: 112,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,430.38 : 191,035.71 = 81,841.26 : x
  2. Step 2: Convert to fraction form
    138,430.38/191,035.71 = 81,841.26/x
  3. Step 3: Cross multiply
    138,430.38x = 191,035.71 × 81,841.26
  4. Step 4: Simplify right side
    138,430.38x = 15,634,603,211.39
  5. Step 5: Solve for x
    x = 15,634,603,211.39/138,430.38
  6. Step 6: Final answer
    x = 112,941.99

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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.