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Finding the Fourth Proportional to 228,082.70, 342,091.65 and 78,329.90

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Solution

The fourth proportional to 228,082.70, 342,091.65 and 78,329.90 is: 117,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,082.70 : 342,091.65 = 78,329.90 : x
  2. Step 2: Convert to fraction form
    228,082.70/342,091.65 = 78,329.90/x
  3. Step 3: Cross multiply
    228,082.70x = 342,091.65 × 78,329.90
  4. Step 4: Simplify right side
    228,082.70x = 26,796,004,735.34
  5. Step 5: Solve for x
    x = 26,796,004,735.34/228,082.70
  6. Step 6: Final answer
    x = 117,483.72

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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.