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Finding the Fourth Proportional to 139,895.88, 193,129.38 and 108,782.16

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Solution

The fourth proportional to 139,895.88, 193,129.38 and 108,782.16 is: 150,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,895.88 : 193,129.38 = 108,782.16 : x
  2. Step 2: Convert to fraction form
    139,895.88/193,129.38 = 108,782.16/x
  3. Step 3: Cross multiply
    139,895.88x = 193,129.38 × 108,782.16
  4. Step 4: Simplify right side
    139,895.88x = 21,009,031,115.86
  5. Step 5: Solve for x
    x = 21,009,031,115.86/139,895.88
  6. Step 6: Final answer
    x = 150,176.20

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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.