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Finding the Fourth Proportional to 295,965.81, 444,014.46 and 138,108.15

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Solution

The fourth proportional to 295,965.81, 444,014.46 and 138,108.15 is: 207,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,965.81 : 444,014.46 = 138,108.15 : x
  2. Step 2: Convert to fraction form
    295,965.81/444,014.46 = 138,108.15/x
  3. Step 3: Cross multiply
    295,965.81x = 444,014.46 × 138,108.15
  4. Step 4: Simplify right side
    295,965.81x = 61,322,015,643.85
  5. Step 5: Solve for x
    x = 61,322,015,643.85/295,965.81
  6. Step 6: Final answer
    x = 207,192.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.