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Finding the Fourth Proportional to 100,915.70, 151,346.21 and 29,838.20

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Solution

The fourth proportional to 100,915.70, 151,346.21 and 29,838.20 is: 44,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,915.70 : 151,346.21 = 29,838.20 : x
  2. Step 2: Convert to fraction form
    100,915.70/151,346.21 = 29,838.20/x
  3. Step 3: Cross multiply
    100,915.70x = 151,346.21 × 29,838.20
  4. Step 4: Simplify right side
    100,915.70x = 4,515,898,483.22
  5. Step 5: Solve for x
    x = 4,515,898,483.22/100,915.70
  6. Step 6: Final answer
    x = 44,749.22

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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.