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Finding the Fourth Proportional to 178,096.34, 245,763.77 and 97,508.27

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Solution

The fourth proportional to 178,096.34, 245,763.77 and 97,508.27 is: 134,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,096.34 : 245,763.77 = 97,508.27 : x
  2. Step 2: Convert to fraction form
    178,096.34/245,763.77 = 97,508.27/x
  3. Step 3: Cross multiply
    178,096.34x = 245,763.77 × 97,508.27
  4. Step 4: Simplify right side
    178,096.34x = 23,963,998,325.02
  5. Step 5: Solve for x
    x = 23,963,998,325.02/178,096.34
  6. Step 6: Final answer
    x = 134,556.38

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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.