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Finding the Fourth Proportional to 295,203.96, 407,376.36 and 167,876.64

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Solution

The fourth proportional to 295,203.96, 407,376.36 and 167,876.64 is: 231,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,203.96 : 407,376.36 = 167,876.64 : x
  2. Step 2: Convert to fraction form
    295,203.96/407,376.36 = 167,876.64/x
  3. Step 3: Cross multiply
    295,203.96x = 407,376.36 × 167,876.64
  4. Step 4: Simplify right side
    295,203.96x = 68,388,974,532.23
  5. Step 5: Solve for x
    x = 68,388,974,532.23/295,203.96
  6. Step 6: Final answer
    x = 231,666.86

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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.