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Finding the Fourth Proportional to 354,148.40, 531,221.52 and 111,008

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Solution

The fourth proportional to 354,148.40, 531,221.52 and 111,008 is: 166,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,148.40 : 531,221.52 = 111,008 : x
  2. Step 2: Convert to fraction form
    354,148.40/531,221.52 = 111,008/x
  3. Step 3: Cross multiply
    354,148.40x = 531,221.52 × 111,008
  4. Step 4: Simplify right side
    354,148.40x = 58,969,838,492.16
  5. Step 5: Solve for x
    x = 58,969,838,492.16/354,148.40
  6. Step 6: Final answer
    x = 166,511.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.