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Finding the Fourth Proportional to 180,294.36, 248,796.42 and 99,717.20

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Solution

The fourth proportional to 180,294.36, 248,796.42 and 99,717.20 is: 137,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,294.36 : 248,796.42 = 99,717.20 : x
  2. Step 2: Convert to fraction form
    180,294.36/248,796.42 = 99,717.20/x
  3. Step 3: Cross multiply
    180,294.36x = 248,796.42 × 99,717.20
  4. Step 4: Simplify right side
    180,294.36x = 24,809,282,372.42
  5. Step 5: Solve for x
    x = 24,809,282,372.42/180,294.36
  6. Step 6: Final answer
    x = 137,604.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.