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Finding the Fourth Proportional to 178,093.44, 245,764.80 and 97,521.12

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Solution

The fourth proportional to 178,093.44, 245,764.80 and 97,521.12 is: 134,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,093.44 : 245,764.80 = 97,521.12 : x
  2. Step 2: Convert to fraction form
    178,093.44/245,764.80 = 97,521.12/x
  3. Step 3: Cross multiply
    178,093.44x = 245,764.80 × 97,521.12
  4. Step 4: Simplify right side
    178,093.44x = 23,967,258,552.58
  5. Step 5: Solve for x
    x = 23,967,258,552.58/178,093.44
  6. Step 6: Final answer
    x = 134,576.87

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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.