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Finding the Fourth Proportional to 203,054.64, 279,921.84 and 142,437.24

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Solution

The fourth proportional to 203,054.64, 279,921.84 and 142,437.24 is: 196,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,054.64 : 279,921.84 = 142,437.24 : x
  2. Step 2: Convert to fraction form
    203,054.64/279,921.84 = 142,437.24/x
  3. Step 3: Cross multiply
    203,054.64x = 279,921.84 × 142,437.24
  4. Step 4: Simplify right side
    203,054.64x = 39,871,294,305.32
  5. Step 5: Solve for x
    x = 39,871,294,305.32/203,054.64
  6. Step 6: Final answer
    x = 196,357.46

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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.