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Finding the Fourth Proportional to 178,993.89, 247,006.83 and 97,319.56

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Solution

The fourth proportional to 178,993.89, 247,006.83 and 97,319.56 is: 134,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,993.89 : 247,006.83 = 97,319.56 : x
  2. Step 2: Convert to fraction form
    178,993.89/247,006.83 = 97,319.56/x
  3. Step 3: Cross multiply
    178,993.89x = 247,006.83 × 97,319.56
  4. Step 4: Simplify right side
    178,993.89x = 24,038,596,012.59
  5. Step 5: Solve for x
    x = 24,038,596,012.59/178,993.89
  6. Step 6: Final answer
    x = 134,298.42

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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.