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Finding the Fourth Proportional to 235,699.79, 325,646.24 and 164,398.11

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Solution

The fourth proportional to 235,699.79, 325,646.24 and 164,398.11 is: 227,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,699.79 : 325,646.24 = 164,398.11 : x
  2. Step 2: Convert to fraction form
    235,699.79/325,646.24 = 164,398.11/x
  3. Step 3: Cross multiply
    235,699.79x = 325,646.24 × 164,398.11
  4. Step 4: Simplify right side
    235,699.79x = 53,535,625,562.62
  5. Step 5: Solve for x
    x = 53,535,625,562.62/235,699.79
  6. Step 6: Final answer
    x = 227,134.81

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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.