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Finding the Fourth Proportional to 234,032.20, 350,999.70 and 100,916.80

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Solution

The fourth proportional to 234,032.20, 350,999.70 and 100,916.80 is: 151,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,032.20 : 350,999.70 = 100,916.80 : x
  2. Step 2: Convert to fraction form
    234,032.20/350,999.70 = 100,916.80/x
  3. Step 3: Cross multiply
    234,032.20x = 350,999.70 × 100,916.80
  4. Step 4: Simplify right side
    234,032.20x = 35,421,766,524.96
  5. Step 5: Solve for x
    x = 35,421,766,524.96/234,032.20
  6. Step 6: Final answer
    x = 151,354.24

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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.