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Finding the Fourth Proportional to 295,703.75, 408,071.54 and 161,567.75

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Solution

The fourth proportional to 295,703.75, 408,071.54 and 161,567.75 is: 222,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,703.75 : 408,071.54 = 161,567.75 : x
  2. Step 2: Convert to fraction form
    295,703.75/408,071.54 = 161,567.75/x
  3. Step 3: Cross multiply
    295,703.75x = 408,071.54 × 161,567.75
  4. Step 4: Simplify right side
    295,703.75x = 65,931,200,556.84
  5. Step 5: Solve for x
    x = 65,931,200,556.84/295,703.75
  6. Step 6: Final answer
    x = 222,963.69

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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.