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Finding the Fourth Proportional to 189,387.56, 284,070.20 and 71,048.99

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Solution

The fourth proportional to 189,387.56, 284,070.20 and 71,048.99 is: 106,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,387.56 : 284,070.20 = 71,048.99 : x
  2. Step 2: Convert to fraction form
    189,387.56/284,070.20 = 71,048.99/x
  3. Step 3: Cross multiply
    189,387.56x = 284,070.20 × 71,048.99
  4. Step 4: Simplify right side
    189,387.56x = 20,182,899,023.50
  5. Step 5: Solve for x
    x = 20,182,899,023.50/189,387.56
  6. Step 6: Final answer
    x = 106,569.30

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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.