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Finding the Fourth Proportional to 310,494.20, 465,741.30 and 100,132.14

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Solution

The fourth proportional to 310,494.20, 465,741.30 and 100,132.14 is: 150,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,494.20 : 465,741.30 = 100,132.14 : x
  2. Step 2: Convert to fraction form
    310,494.20/465,741.30 = 100,132.14/x
  3. Step 3: Cross multiply
    310,494.20x = 465,741.30 × 100,132.14
  4. Step 4: Simplify right side
    310,494.20x = 46,635,671,409.83
  5. Step 5: Solve for x
    x = 46,635,671,409.83/310,494.20
  6. Step 6: Final answer
    x = 150,198.21

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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.