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Finding the Fourth Proportional to 105,219.19, 157,837.02 and 35,098.44

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Solution

The fourth proportional to 105,219.19, 157,837.02 and 35,098.44 is: 52,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,219.19 : 157,837.02 = 35,098.44 : x
  2. Step 2: Convert to fraction form
    105,219.19/157,837.02 = 35,098.44/x
  3. Step 3: Cross multiply
    105,219.19x = 157,837.02 × 35,098.44
  4. Step 4: Simplify right side
    105,219.19x = 5,539,833,176.25
  5. Step 5: Solve for x
    x = 5,539,833,176.25/105,219.19
  6. Step 6: Final answer
    x = 52,650.41

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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.