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Finding the Fourth Proportional to 153,849.98, 230,745.66 and 65,165.77

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Solution

The fourth proportional to 153,849.98, 230,745.66 and 65,165.77 is: 97,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,849.98 : 230,745.66 = 65,165.77 : x
  2. Step 2: Convert to fraction form
    153,849.98/230,745.66 = 65,165.77/x
  3. Step 3: Cross multiply
    153,849.98x = 230,745.66 × 65,165.77
  4. Step 4: Simplify right side
    153,849.98x = 15,036,717,720.73
  5. Step 5: Solve for x
    x = 15,036,717,720.73/153,849.98
  6. Step 6: Final answer
    x = 97,736.23

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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.