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Finding the Fourth Proportional to 282,683.52, 423,921.60 and 82,952.64

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Solution

The fourth proportional to 282,683.52, 423,921.60 and 82,952.64 is: 124,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,683.52 : 423,921.60 = 82,952.64 : x
  2. Step 2: Convert to fraction form
    282,683.52/423,921.60 = 82,952.64/x
  3. Step 3: Cross multiply
    282,683.52x = 423,921.60 × 82,952.64
  4. Step 4: Simplify right side
    282,683.52x = 35,165,415,873.02
  5. Step 5: Solve for x
    x = 35,165,415,873.02/282,683.52
  6. Step 6: Final answer
    x = 124,398.54

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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.