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Finding the Fourth Proportional to 189,371.71, 284,057.23 and 110,430.58

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Solution

The fourth proportional to 189,371.71, 284,057.23 and 110,430.58 is: 165,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,371.71 : 284,057.23 = 110,430.58 : x
  2. Step 2: Convert to fraction form
    189,371.71/284,057.23 = 110,430.58/x
  3. Step 3: Cross multiply
    189,371.71x = 284,057.23 × 110,430.58
  4. Step 4: Simplify right side
    189,371.71x = 31,368,604,662.09
  5. Step 5: Solve for x
    x = 31,368,604,662.09/189,371.71
  6. Step 6: Final answer
    x = 165,645.67

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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.