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Finding the Fourth Proportional to 295,143.51, 407,296.16 and 167,819.10

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Solution

The fourth proportional to 295,143.51, 407,296.16 and 167,819.10 is: 231,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,143.51 : 407,296.16 = 167,819.10 : x
  2. Step 2: Convert to fraction form
    295,143.51/407,296.16 = 167,819.10/x
  3. Step 3: Cross multiply
    295,143.51x = 407,296.16 × 167,819.10
  4. Step 4: Simplify right side
    295,143.51x = 68,352,075,004.66
  5. Step 5: Solve for x
    x = 68,352,075,004.66/295,143.51
  6. Step 6: Final answer
    x = 231,589.29

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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.