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Finding the Fourth Proportional to 98,273.44, 147,410.19 and 65,204.80

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Solution

The fourth proportional to 98,273.44, 147,410.19 and 65,204.80 is: 97,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,273.44 : 147,410.19 = 65,204.80 : x
  2. Step 2: Convert to fraction form
    98,273.44/147,410.19 = 65,204.80/x
  3. Step 3: Cross multiply
    98,273.44x = 147,410.19 × 65,204.80
  4. Step 4: Simplify right side
    98,273.44x = 9,611,851,956.91
  5. Step 5: Solve for x
    x = 9,611,851,956.91/98,273.44
  6. Step 6: Final answer
    x = 97,807.22

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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.