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Finding the Fourth Proportional to 176,224.26, 243,189.74 and 100,774.38

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Solution

The fourth proportional to 176,224.26, 243,189.74 and 100,774.38 is: 139,068.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,224.26 : 243,189.74 = 100,774.38 : x
  2. Step 2: Convert to fraction form
    176,224.26/243,189.74 = 100,774.38/x
  3. Step 3: Cross multiply
    176,224.26x = 243,189.74 × 100,774.38
  4. Step 4: Simplify right side
    176,224.26x = 24,507,295,270.86
  5. Step 5: Solve for x
    x = 24,507,295,270.86/176,224.26
  6. Step 6: Final answer
    x = 139,068.79

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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.