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Finding the Fourth Proportional to 242,716.96, 364,240.56 and 148,936.48

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Solution

The fourth proportional to 242,716.96, 364,240.56 and 148,936.48 is: 223,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,716.96 : 364,240.56 = 148,936.48 : x
  2. Step 2: Convert to fraction form
    242,716.96/364,240.56 = 148,936.48/x
  3. Step 3: Cross multiply
    242,716.96x = 364,240.56 × 148,936.48
  4. Step 4: Simplify right side
    242,716.96x = 54,248,706,879.63
  5. Step 5: Solve for x
    x = 54,248,706,879.63/242,716.96
  6. Step 6: Final answer
    x = 223,506.04

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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.