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Finding the Fourth Proportional to 242,784.48, 364,332.24 and 118,057.44

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Solution

The fourth proportional to 242,784.48, 364,332.24 and 118,057.44 is: 177,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,784.48 : 364,332.24 = 118,057.44 : x
  2. Step 2: Convert to fraction form
    242,784.48/364,332.24 = 118,057.44/x
  3. Step 3: Cross multiply
    242,784.48x = 364,332.24 × 118,057.44
  4. Step 4: Simplify right side
    242,784.48x = 43,012,131,563.87
  5. Step 5: Solve for x
    x = 43,012,131,563.87/242,784.48
  6. Step 6: Final answer
    x = 177,161.78

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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.