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Finding the Fourth Proportional to 98,881.78, 148,326.34 and 50,837.54

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Solution

The fourth proportional to 98,881.78, 148,326.34 and 50,837.54 is: 76,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,881.78 : 148,326.34 = 50,837.54 : x
  2. Step 2: Convert to fraction form
    98,881.78/148,326.34 = 50,837.54/x
  3. Step 3: Cross multiply
    98,881.78x = 148,326.34 × 50,837.54
  4. Step 4: Simplify right side
    98,881.78x = 7,540,546,303.73
  5. Step 5: Solve for x
    x = 7,540,546,303.73/98,881.78
  6. Step 6: Final answer
    x = 76,258.20

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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.