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Finding the Fourth Proportional to 242,997.64, 364,619.40 and 163,945.80

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Solution

The fourth proportional to 242,997.64, 364,619.40 and 163,945.80 is: 246,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,997.64 : 364,619.40 = 163,945.80 : x
  2. Step 2: Convert to fraction form
    242,997.64/364,619.40 = 163,945.80/x
  3. Step 3: Cross multiply
    242,997.64x = 364,619.40 × 163,945.80
  4. Step 4: Simplify right side
    242,997.64x = 59,777,819,228.52
  5. Step 5: Solve for x
    x = 59,777,819,228.52/242,997.64
  6. Step 6: Final answer
    x = 246,001.65

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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.