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Finding the Fourth Proportional to 210,023.54, 289,832.56 and 114,527.78

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Solution

The fourth proportional to 210,023.54, 289,832.56 and 114,527.78 is: 158,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,023.54 : 289,832.56 = 114,527.78 : x
  2. Step 2: Convert to fraction form
    210,023.54/289,832.56 = 114,527.78/x
  3. Step 3: Cross multiply
    210,023.54x = 289,832.56 × 114,527.78
  4. Step 4: Simplify right side
    210,023.54x = 33,193,879,668.52
  5. Step 5: Solve for x
    x = 33,193,879,668.52/210,023.54
  6. Step 6: Final answer
    x = 158,048.38

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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.