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Finding the Fourth Proportional to 242,896.24, 364,374.78 and 130,421.80

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Solution

The fourth proportional to 242,896.24, 364,374.78 and 130,421.80 is: 195,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,896.24 : 364,374.78 = 130,421.80 : x
  2. Step 2: Convert to fraction form
    242,896.24/364,374.78 = 130,421.80/x
  3. Step 3: Cross multiply
    242,896.24x = 364,374.78 × 130,421.80
  4. Step 4: Simplify right side
    242,896.24x = 47,522,414,682.20
  5. Step 5: Solve for x
    x = 47,522,414,682.20/242,896.24
  6. Step 6: Final answer
    x = 195,649.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.