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Finding the Fourth Proportional to 82,829.80, 124,341.90 and 82,246.60

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Solution

The fourth proportional to 82,829.80, 124,341.90 and 82,246.60 is: 123,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,829.80 : 124,341.90 = 82,246.60 : x
  2. Step 2: Convert to fraction form
    82,829.80/124,341.90 = 82,246.60/x
  3. Step 3: Cross multiply
    82,829.80x = 124,341.90 × 82,246.60
  4. Step 4: Simplify right side
    82,829.80x = 10,226,698,512.54
  5. Step 5: Solve for x
    x = 10,226,698,512.54/82,829.80
  6. Step 6: Final answer
    x = 123,466.42

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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.