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Finding the Fourth Proportional to 178,146.39, 245,846 and 101,663.96

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Solution

The fourth proportional to 178,146.39, 245,846 and 101,663.96 is: 140,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,146.39 : 245,846 = 101,663.96 : x
  2. Step 2: Convert to fraction form
    178,146.39/245,846 = 101,663.96/x
  3. Step 3: Cross multiply
    178,146.39x = 245,846 × 101,663.96
  4. Step 4: Simplify right side
    178,146.39x = 24,993,677,910.16
  5. Step 5: Solve for x
    x = 24,993,677,910.16/178,146.39
  6. Step 6: Final answer
    x = 140,298.54

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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.