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Finding the Fourth Proportional to 242,598.44, 363,847.55 and 65,063.25

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Solution

The fourth proportional to 242,598.44, 363,847.55 and 65,063.25 is: 97,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,598.44 : 363,847.55 = 65,063.25 : x
  2. Step 2: Convert to fraction form
    242,598.44/363,847.55 = 65,063.25/x
  3. Step 3: Cross multiply
    242,598.44x = 363,847.55 × 65,063.25
  4. Step 4: Simplify right side
    242,598.44x = 23,673,103,782.22
  5. Step 5: Solve for x
    x = 23,673,103,782.22/242,598.44
  6. Step 6: Final answer
    x = 97,581.43

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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.