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Finding the Fourth Proportional to 242,617.42, 363,876 and 65,082.34

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Solution

The fourth proportional to 242,617.42, 363,876 and 65,082.34 is: 97,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,617.42 : 363,876 = 65,082.34 : x
  2. Step 2: Convert to fraction form
    242,617.42/363,876 = 65,082.34/x
  3. Step 3: Cross multiply
    242,617.42x = 363,876 × 65,082.34
  4. Step 4: Simplify right side
    242,617.42x = 23,681,901,549.84
  5. Step 5: Solve for x
    x = 23,681,901,549.84/242,617.42
  6. Step 6: Final answer
    x = 97,610.06

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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.