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Finding the Fourth Proportional to 158,258.36, 237,410.92 and 45,924

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Solution

The fourth proportional to 158,258.36, 237,410.92 and 45,924 is: 68,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,258.36 : 237,410.92 = 45,924 : x
  2. Step 2: Convert to fraction form
    158,258.36/237,410.92 = 45,924/x
  3. Step 3: Cross multiply
    158,258.36x = 237,410.92 × 45,924
  4. Step 4: Simplify right side
    158,258.36x = 10,902,859,090.08
  5. Step 5: Solve for x
    x = 10,902,859,090.08/158,258.36
  6. Step 6: Final answer
    x = 68,892.78

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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.