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Finding the Fourth Proportional to 232,014.60, 347,741.10 and 98,614.80

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Solution

The fourth proportional to 232,014.60, 347,741.10 and 98,614.80 is: 147,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,014.60 : 347,741.10 = 98,614.80 : x
  2. Step 2: Convert to fraction form
    232,014.60/347,741.10 = 98,614.80/x
  3. Step 3: Cross multiply
    232,014.60x = 347,741.10 × 98,614.80
  4. Step 4: Simplify right side
    232,014.60x = 34,292,419,028.28
  5. Step 5: Solve for x
    x = 34,292,419,028.28/232,014.60
  6. Step 6: Final answer
    x = 147,802.85

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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.