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Finding the Fourth Proportional to 82,293.92, 123,293.28 and 77,865.26

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Solution

The fourth proportional to 82,293.92, 123,293.28 and 77,865.26 is: 116,658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,293.92 : 123,293.28 = 77,865.26 : x
  2. Step 2: Convert to fraction form
    82,293.92/123,293.28 = 77,865.26/x
  3. Step 3: Cross multiply
    82,293.92x = 123,293.28 × 77,865.26
  4. Step 4: Simplify right side
    82,293.92x = 9,600,263,303.45
  5. Step 5: Solve for x
    x = 9,600,263,303.45/82,293.92
  6. Step 6: Final answer
    x = 116,658.23

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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.