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Finding the Fourth Proportional to 283,203.84, 424,863.60 and 83,507.52

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Solution

The fourth proportional to 283,203.84, 424,863.60 and 83,507.52 is: 125,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,203.84 : 424,863.60 = 83,507.52 : x
  2. Step 2: Convert to fraction form
    283,203.84/424,863.60 = 83,507.52/x
  3. Step 3: Cross multiply
    283,203.84x = 424,863.60 × 83,507.52
  4. Step 4: Simplify right side
    283,203.84x = 35,479,305,574.27
  5. Step 5: Solve for x
    x = 35,479,305,574.27/283,203.84
  6. Step 6: Final answer
    x = 125,278.34

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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.