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Finding the Fourth Proportional to 98,168.24, 147,255.24 and 65,100.08

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Solution

The fourth proportional to 98,168.24, 147,255.24 and 65,100.08 is: 97,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,168.24 : 147,255.24 = 65,100.08 : x
  2. Step 2: Convert to fraction form
    98,168.24/147,255.24 = 65,100.08/x
  3. Step 3: Cross multiply
    98,168.24x = 147,255.24 × 65,100.08
  4. Step 4: Simplify right side
    98,168.24x = 9,586,327,904.42
  5. Step 5: Solve for x
    x = 9,586,327,904.42/98,168.24
  6. Step 6: Final answer
    x = 97,652.03

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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.