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Finding the Fourth Proportional to 213,458.82, 294,574.08 and 116,664.62

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Solution

The fourth proportional to 213,458.82, 294,574.08 and 116,664.62 is: 160,997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,458.82 : 294,574.08 = 116,664.62 : x
  2. Step 2: Convert to fraction form
    213,458.82/294,574.08 = 116,664.62/x
  3. Step 3: Cross multiply
    213,458.82x = 294,574.08 × 116,664.62
  4. Step 4: Simplify right side
    213,458.82x = 34,366,373,105.05
  5. Step 5: Solve for x
    x = 34,366,373,105.05/213,458.82
  6. Step 6: Final answer
    x = 160,997.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.