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Finding the Fourth Proportional to 153,995.02, 230,952.40 and 65,202.82

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Solution

The fourth proportional to 153,995.02, 230,952.40 and 65,202.82 is: 97,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,995.02 : 230,952.40 = 65,202.82 : x
  2. Step 2: Convert to fraction form
    153,995.02/230,952.40 = 65,202.82/x
  3. Step 3: Cross multiply
    153,995.02x = 230,952.40 × 65,202.82
  4. Step 4: Simplify right side
    153,995.02x = 15,058,747,765.77
  5. Step 5: Solve for x
    x = 15,058,747,765.77/153,995.02
  6. Step 6: Final answer
    x = 97,787.24

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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.