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Finding the Fourth Proportional to 255,362.88, 352,403.24 and 142,188.08

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Solution

The fourth proportional to 255,362.88, 352,403.24 and 142,188.08 is: 196,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,362.88 : 352,403.24 = 142,188.08 : x
  2. Step 2: Convert to fraction form
    255,362.88/352,403.24 = 142,188.08/x
  3. Step 3: Cross multiply
    255,362.88x = 352,403.24 × 142,188.08
  4. Step 4: Simplify right side
    255,362.88x = 50,107,540,081.38
  5. Step 5: Solve for x
    x = 50,107,540,081.38/255,362.88
  6. Step 6: Final answer
    x = 196,220.92

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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.