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Finding the Fourth Proportional to 153,993.52, 230,950.16 and 65,201.32

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Solution

The fourth proportional to 153,993.52, 230,950.16 and 65,201.32 is: 97,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,993.52 : 230,950.16 = 65,201.32 : x
  2. Step 2: Convert to fraction form
    153,993.52/230,950.16 = 65,201.32/x
  3. Step 3: Cross multiply
    153,993.52x = 230,950.16 × 65,201.32
  4. Step 4: Simplify right side
    153,993.52x = 15,058,253,805.45
  5. Step 5: Solve for x
    x = 15,058,253,805.45/153,993.52
  6. Step 6: Final answer
    x = 97,784.99

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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.