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Finding the Fourth Proportional to 213,424.72, 294,587.46 and 140,880.56

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Solution

The fourth proportional to 213,424.72, 294,587.46 and 140,880.56 is: 194,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,424.72 : 294,587.46 = 140,880.56 : x
  2. Step 2: Convert to fraction form
    213,424.72/294,587.46 = 140,880.56/x
  3. Step 3: Cross multiply
    213,424.72x = 294,587.46 × 140,880.56
  4. Step 4: Simplify right side
    213,424.72x = 41,501,646,333.78
  5. Step 5: Solve for x
    x = 41,501,646,333.78/213,424.72
  6. Step 6: Final answer
    x = 194,455.67

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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.