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Finding the Fourth Proportional to 153,760.44, 230,650.37 and 65,002.26

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Solution

The fourth proportional to 153,760.44, 230,650.37 and 65,002.26 is: 97,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,760.44 : 230,650.37 = 65,002.26 : x
  2. Step 2: Convert to fraction form
    153,760.44/230,650.37 = 65,002.26/x
  3. Step 3: Cross multiply
    153,760.44x = 230,650.37 × 65,002.26
  4. Step 4: Simplify right side
    153,760.44x = 14,992,795,319.84
  5. Step 5: Solve for x
    x = 14,992,795,319.84/153,760.44
  6. Step 6: Final answer
    x = 97,507.49

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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.