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Finding the Fourth Proportional to 176,889.24, 244,109.88 and 100,406.16

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Solution

The fourth proportional to 176,889.24, 244,109.88 and 100,406.16 is: 138,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,889.24 : 244,109.88 = 100,406.16 : x
  2. Step 2: Convert to fraction form
    176,889.24/244,109.88 = 100,406.16/x
  3. Step 3: Cross multiply
    176,889.24x = 244,109.88 × 100,406.16
  4. Step 4: Simplify right side
    176,889.24x = 24,510,135,668.86
  5. Step 5: Solve for x
    x = 24,510,135,668.86/176,889.24
  6. Step 6: Final answer
    x = 138,562.05

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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.