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Finding the Fourth Proportional to 139,464.54, 192,462.57 and 75,802.35

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Solution

The fourth proportional to 139,464.54, 192,462.57 and 75,802.35 is: 104,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,464.54 : 192,462.57 = 75,802.35 : x
  2. Step 2: Convert to fraction form
    139,464.54/192,462.57 = 75,802.35/x
  3. Step 3: Cross multiply
    139,464.54x = 192,462.57 × 75,802.35
  4. Step 4: Simplify right side
    139,464.54x = 14,589,115,093.04
  5. Step 5: Solve for x
    x = 14,589,115,093.04/139,464.54
  6. Step 6: Final answer
    x = 104,608.06

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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.