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Finding the Fourth Proportional to 236,043.71, 325,642.79 and 164,465.24

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Solution

The fourth proportional to 236,043.71, 325,642.79 and 164,465.24 is: 226,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,043.71 : 325,642.79 = 164,465.24 : x
  2. Step 2: Convert to fraction form
    236,043.71/325,642.79 = 164,465.24/x
  3. Step 3: Cross multiply
    236,043.71x = 325,642.79 × 164,465.24
  4. Step 4: Simplify right side
    236,043.71x = 53,556,919,611.62
  5. Step 5: Solve for x
    x = 53,556,919,611.62/236,043.71
  6. Step 6: Final answer
    x = 226,894.08

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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.