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Finding the Fourth Proportional to 263,457.76, 363,572.68 and 142,600.64

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Solution

The fourth proportional to 263,457.76, 363,572.68 and 142,600.64 is: 196,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,457.76 : 363,572.68 = 142,600.64 : x
  2. Step 2: Convert to fraction form
    263,457.76/363,572.68 = 142,600.64/x
  3. Step 3: Cross multiply
    263,457.76x = 363,572.68 × 142,600.64
  4. Step 4: Simplify right side
    263,457.76x = 51,845,696,854.52
  5. Step 5: Solve for x
    x = 51,845,696,854.52/263,457.76
  6. Step 6: Final answer
    x = 196,789.41

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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.