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Finding the Fourth Proportional to 189,758.66, 284,605.02 and 71,430.92

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Solution

The fourth proportional to 189,758.66, 284,605.02 and 71,430.92 is: 107,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,758.66 : 284,605.02 = 71,430.92 : x
  2. Step 2: Convert to fraction form
    189,758.66/284,605.02 = 71,430.92/x
  3. Step 3: Cross multiply
    189,758.66x = 284,605.02 × 71,430.92
  4. Step 4: Simplify right side
    189,758.66x = 20,329,598,415.22
  5. Step 5: Solve for x
    x = 20,329,598,415.22/189,758.66
  6. Step 6: Final answer
    x = 107,133.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.