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Finding the Fourth Proportional to 144,232.34, 199,082.61 and 83,830.10

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Solution

The fourth proportional to 144,232.34, 199,082.61 and 83,830.10 is: 115,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,232.34 : 199,082.61 = 83,830.10 : x
  2. Step 2: Convert to fraction form
    144,232.34/199,082.61 = 83,830.10/x
  3. Step 3: Cross multiply
    144,232.34x = 199,082.61 × 83,830.10
  4. Step 4: Simplify right side
    144,232.34x = 16,689,115,104.56
  5. Step 5: Solve for x
    x = 16,689,115,104.56/144,232.34
  6. Step 6: Final answer
    x = 115,709.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.