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Finding the Fourth Proportional to 292,106.46, 438,183.93 and 81,744.06

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Solution

The fourth proportional to 292,106.46, 438,183.93 and 81,744.06 is: 122,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,106.46 : 438,183.93 = 81,744.06 : x
  2. Step 2: Convert to fraction form
    292,106.46/438,183.93 = 81,744.06/x
  3. Step 3: Cross multiply
    292,106.46x = 438,183.93 × 81,744.06
  4. Step 4: Simplify right side
    292,106.46x = 35,818,933,464.96
  5. Step 5: Solve for x
    x = 35,818,933,464.96/292,106.46
  6. Step 6: Final answer
    x = 122,622.87

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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.