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Finding the Fourth Proportional to 228,082.30, 342,317.85 and 101,916.70

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Solution

The fourth proportional to 228,082.30, 342,317.85 and 101,916.70 is: 152,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,082.30 : 342,317.85 = 101,916.70 : x
  2. Step 2: Convert to fraction form
    228,082.30/342,317.85 = 101,916.70/x
  3. Step 3: Cross multiply
    228,082.30x = 342,317.85 × 101,916.70
  4. Step 4: Simplify right side
    228,082.30x = 34,887,905,623.10
  5. Step 5: Solve for x
    x = 34,887,905,623.10/228,082.30
  6. Step 6: Final answer
    x = 152,961.92

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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.