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Finding the Fourth Proportional to 354,374.82, 531,414.42 and 111,153.23

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Solution

The fourth proportional to 354,374.82, 531,414.42 and 111,153.23 is: 166,683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,374.82 : 531,414.42 = 111,153.23 : x
  2. Step 2: Convert to fraction form
    354,374.82/531,414.42 = 111,153.23/x
  3. Step 3: Cross multiply
    354,374.82x = 531,414.42 × 111,153.23
  4. Step 4: Simplify right side
    354,374.82x = 59,068,426,594.50
  5. Step 5: Solve for x
    x = 59,068,426,594.50/354,374.82
  6. Step 6: Final answer
    x = 166,683.48

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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.