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Finding the Fourth Proportional to 139,092.57, 191,927.55 and 77,838.47

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Solution

The fourth proportional to 139,092.57, 191,927.55 and 77,838.47 is: 107,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,092.57 : 191,927.55 = 77,838.47 : x
  2. Step 2: Convert to fraction form
    139,092.57/191,927.55 = 77,838.47/x
  3. Step 3: Cross multiply
    139,092.57x = 191,927.55 × 77,838.47
  4. Step 4: Simplify right side
    139,092.57x = 14,939,345,883.21
  5. Step 5: Solve for x
    x = 14,939,345,883.21/139,092.57
  6. Step 6: Final answer
    x = 107,405.78

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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.