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Finding the Fourth Proportional to 103,214.25, 154,847.39 and 29,342.25

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Solution

The fourth proportional to 103,214.25, 154,847.39 and 29,342.25 is: 44,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,214.25 : 154,847.39 = 29,342.25 : x
  2. Step 2: Convert to fraction form
    103,214.25/154,847.39 = 29,342.25/x
  3. Step 3: Cross multiply
    103,214.25x = 154,847.39 × 29,342.25
  4. Step 4: Simplify right side
    103,214.25x = 4,543,570,682.52
  5. Step 5: Solve for x
    x = 4,543,570,682.52/103,214.25
  6. Step 6: Final answer
    x = 44,020.77

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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.