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Finding the Fourth Proportional to 242,814.54, 364,232.70 and 91,047.54

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Solution

The fourth proportional to 242,814.54, 364,232.70 and 91,047.54 is: 136,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,814.54 : 364,232.70 = 91,047.54 : x
  2. Step 2: Convert to fraction form
    242,814.54/364,232.70 = 91,047.54/x
  3. Step 3: Cross multiply
    242,814.54x = 364,232.70 × 91,047.54
  4. Step 4: Simplify right side
    242,814.54x = 33,162,491,322.56
  5. Step 5: Solve for x
    x = 33,162,491,322.56/242,814.54
  6. Step 6: Final answer
    x = 136,575.39

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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.