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Finding the Fourth Proportional to 242,602.83, 364,163.04 and 214,700.36

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Solution

The fourth proportional to 242,602.83, 364,163.04 and 214,700.36 is: 322,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,602.83 : 364,163.04 = 214,700.36 : x
  2. Step 2: Convert to fraction form
    242,602.83/364,163.04 = 214,700.36/x
  3. Step 3: Cross multiply
    242,602.83x = 364,163.04 × 214,700.36
  4. Step 4: Simplify right side
    242,602.83x = 78,185,933,965.88
  5. Step 5: Solve for x
    x = 78,185,933,965.88/242,602.83
  6. Step 6: Final answer
    x = 322,279.56

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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.