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Finding the Fourth Proportional to 283,104.54, 424,509.75 and 83,398.59

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Solution

The fourth proportional to 283,104.54, 424,509.75 and 83,398.59 is: 125,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,104.54 : 424,509.75 = 83,398.59 : x
  2. Step 2: Convert to fraction form
    283,104.54/424,509.75 = 83,398.59/x
  3. Step 3: Cross multiply
    283,104.54x = 424,509.75 × 83,398.59
  4. Step 4: Simplify right side
    283,104.54x = 35,403,514,591.25
  5. Step 5: Solve for x
    x = 35,403,514,591.25/283,104.54
  6. Step 6: Final answer
    x = 125,054.56

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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.