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Finding the Fourth Proportional to 263,865.76, 363,887.76 and 168,434.08

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Solution

The fourth proportional to 263,865.76, 363,887.76 and 168,434.08 is: 232,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,865.76 : 363,887.76 = 168,434.08 : x
  2. Step 2: Convert to fraction form
    263,865.76/363,887.76 = 168,434.08/x
  3. Step 3: Cross multiply
    263,865.76x = 363,887.76 × 168,434.08
  4. Step 4: Simplify right side
    263,865.76x = 61,291,100,078.86
  5. Step 5: Solve for x
    x = 61,291,100,078.86/263,865.76
  6. Step 6: Final answer
    x = 232,281.37

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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.