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Finding the Fourth Proportional to 219,065.28, 302,356.92 and 138,441.36

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Solution

The fourth proportional to 219,065.28, 302,356.92 and 138,441.36 is: 191,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,065.28 : 302,356.92 = 138,441.36 : x
  2. Step 2: Convert to fraction form
    219,065.28/302,356.92 = 138,441.36/x
  3. Step 3: Cross multiply
    219,065.28x = 302,356.92 × 138,441.36
  4. Step 4: Simplify right side
    219,065.28x = 41,858,703,210.21
  5. Step 5: Solve for x
    x = 41,858,703,210.21/219,065.28
  6. Step 6: Final answer
    x = 191,078.67

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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.