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Finding the Fourth Proportional to 154,114.70, 231,151.14 and 41,802.14

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Solution

The fourth proportional to 154,114.70, 231,151.14 and 41,802.14 is: 62,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,114.70 : 231,151.14 = 41,802.14 : x
  2. Step 2: Convert to fraction form
    154,114.70/231,151.14 = 41,802.14/x
  3. Step 3: Cross multiply
    154,114.70x = 231,151.14 × 41,802.14
  4. Step 4: Simplify right side
    154,114.70x = 9,662,612,315.44
  5. Step 5: Solve for x
    x = 9,662,612,315.44/154,114.70
  6. Step 6: Final answer
    x = 62,697.54

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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.