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Finding the Fourth Proportional to 242,909.44, 364,353.82 and 82,999.74

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Solution

The fourth proportional to 242,909.44, 364,353.82 and 82,999.74 is: 124,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,909.44 : 364,353.82 = 82,999.74 : x
  2. Step 2: Convert to fraction form
    242,909.44/364,353.82 = 82,999.74/x
  3. Step 3: Cross multiply
    242,909.44x = 364,353.82 × 82,999.74
  4. Step 4: Simplify right side
    242,909.44x = 30,241,272,328.01
  5. Step 5: Solve for x
    x = 30,241,272,328.01/242,909.44
  6. Step 6: Final answer
    x = 124,496.08

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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.