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Finding the Fourth Proportional to 283,151.52, 424,661.76 and 83,485.44

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Solution

The fourth proportional to 283,151.52, 424,661.76 and 83,485.44 is: 125,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,151.52 : 424,661.76 = 83,485.44 : x
  2. Step 2: Convert to fraction form
    283,151.52/424,661.76 = 83,485.44/x
  3. Step 3: Cross multiply
    283,151.52x = 424,661.76 × 83,485.44
  4. Step 4: Simplify right side
    283,151.52x = 35,453,073,884.77
  5. Step 5: Solve for x
    x = 35,453,073,884.77/283,151.52
  6. Step 6: Final answer
    x = 125,208.84

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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.