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Finding the Fourth Proportional to 82,778.90, 124,219.65 and 43,364.30

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Solution

The fourth proportional to 82,778.90, 124,219.65 and 43,364.30 is: 65,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,778.90 : 124,219.65 = 43,364.30 : x
  2. Step 2: Convert to fraction form
    82,778.90/124,219.65 = 43,364.30/x
  3. Step 3: Cross multiply
    82,778.90x = 124,219.65 × 43,364.30
  4. Step 4: Simplify right side
    82,778.90x = 5,386,698,168.50
  5. Step 5: Solve for x
    x = 5,386,698,168.50/82,778.90
  6. Step 6: Final answer
    x = 65,073.32

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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.