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Finding the Fourth Proportional to 295,143.52, 407,247.20 and 166,064.08

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Solution

The fourth proportional to 295,143.52, 407,247.20 and 166,064.08 is: 229,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,143.52 : 407,247.20 = 166,064.08 : x
  2. Step 2: Convert to fraction form
    295,143.52/407,247.20 = 166,064.08/x
  3. Step 3: Cross multiply
    295,143.52x = 407,247.20 × 166,064.08
  4. Step 4: Simplify right side
    295,143.52x = 67,629,129,564.34
  5. Step 5: Solve for x
    x = 67,629,129,564.34/295,143.52
  6. Step 6: Final answer
    x = 229,139.81

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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.