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Finding the Fourth Proportional to 219,126.42, 302,399.73 and 128,540.34

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Solution

The fourth proportional to 219,126.42, 302,399.73 and 128,540.34 is: 177,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,126.42 : 302,399.73 = 128,540.34 : x
  2. Step 2: Convert to fraction form
    219,126.42/302,399.73 = 128,540.34/x
  3. Step 3: Cross multiply
    219,126.42x = 302,399.73 × 128,540.34
  4. Step 4: Simplify right side
    219,126.42x = 38,870,564,110.11
  5. Step 5: Solve for x
    x = 38,870,564,110.11/219,126.42
  6. Step 6: Final answer
    x = 177,388.76

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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.