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Finding the Fourth Proportional to 263,625.16, 363,802.16 and 142,766.07

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Solution

The fourth proportional to 263,625.16, 363,802.16 and 142,766.07 is: 197,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,625.16 : 363,802.16 = 142,766.07 : x
  2. Step 2: Convert to fraction form
    263,625.16/363,802.16 = 142,766.07/x
  3. Step 3: Cross multiply
    263,625.16x = 363,802.16 × 142,766.07
  4. Step 4: Simplify right side
    263,625.16x = 51,938,604,640.71
  5. Step 5: Solve for x
    x = 51,938,604,640.71/263,625.16
  6. Step 6: Final answer
    x = 197,016.88

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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.