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Finding the Fourth Proportional to 242,909.20, 364,322.44 and 65,376.64

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Solution

The fourth proportional to 242,909.20, 364,322.44 and 65,376.64 is: 98,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,909.20 : 364,322.44 = 65,376.64 : x
  2. Step 2: Convert to fraction form
    242,909.20/364,322.44 = 65,376.64/x
  3. Step 3: Cross multiply
    242,909.20x = 364,322.44 × 65,376.64
  4. Step 4: Simplify right side
    242,909.20x = 23,818,177,003.80
  5. Step 5: Solve for x
    x = 23,818,177,003.80/242,909.20
  6. Step 6: Final answer
    x = 98,053.83

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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.