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Finding the Fourth Proportional to 263,668.96, 363,862.29 and 142,809.94

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Solution

The fourth proportional to 263,668.96, 363,862.29 and 142,809.94 is: 197,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,668.96 : 363,862.29 = 142,809.94 : x
  2. Step 2: Convert to fraction form
    263,668.96/363,862.29 = 142,809.94/x
  3. Step 3: Cross multiply
    263,668.96x = 363,862.29 × 142,809.94
  4. Step 4: Simplify right side
    263,668.96x = 51,963,151,803.16
  5. Step 5: Solve for x
    x = 51,963,151,803.16/263,668.96
  6. Step 6: Final answer
    x = 197,077.24

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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.