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Finding the Fourth Proportional to 105,131.46, 145,082.01 and 57,383.76

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Solution

The fourth proportional to 105,131.46, 145,082.01 and 57,383.76 is: 79,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,131.46 : 145,082.01 = 57,383.76 : x
  2. Step 2: Convert to fraction form
    105,131.46/145,082.01 = 57,383.76/x
  3. Step 3: Cross multiply
    105,131.46x = 145,082.01 × 57,383.76
  4. Step 4: Simplify right side
    105,131.46x = 8,325,351,242.16
  5. Step 5: Solve for x
    x = 8,325,351,242.16/105,131.46
  6. Step 6: Final answer
    x = 79,189.91

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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.