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Finding the Fourth Proportional to 139,042, 191,876.82 and 75,378.16

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Solution

The fourth proportional to 139,042, 191,876.82 and 75,378.16 is: 104,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,042 : 191,876.82 = 75,378.16 : x
  2. Step 2: Convert to fraction form
    139,042/191,876.82 = 75,378.16/x
  3. Step 3: Cross multiply
    139,042x = 191,876.82 × 75,378.16
  4. Step 4: Simplify right side
    139,042x = 14,463,321,638.25
  5. Step 5: Solve for x
    x = 14,463,321,638.25/139,042
  6. Step 6: Final answer
    x = 104,021.24

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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.