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Finding the Fourth Proportional to 139,920.93, 193,078.67 and 77,819.53

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Solution

The fourth proportional to 139,920.93, 193,078.67 and 77,819.53 is: 107,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,920.93 : 193,078.67 = 77,819.53 : x
  2. Step 2: Convert to fraction form
    139,920.93/193,078.67 = 77,819.53/x
  3. Step 3: Cross multiply
    139,920.93x = 193,078.67 × 77,819.53
  4. Step 4: Simplify right side
    139,920.93x = 15,025,291,788.32
  5. Step 5: Solve for x
    x = 15,025,291,788.32/139,920.93
  6. Step 6: Final answer
    x = 107,384.16

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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.