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Finding the Fourth Proportional to 259,575.84, 388,767.60 and 164,799.36

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Solution

The fourth proportional to 259,575.84, 388,767.60 and 164,799.36 is: 246,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,575.84 : 388,767.60 = 164,799.36 : x
  2. Step 2: Convert to fraction form
    259,575.84/388,767.60 = 164,799.36/x
  3. Step 3: Cross multiply
    259,575.84x = 388,767.60 × 164,799.36
  4. Step 4: Simplify right side
    259,575.84x = 64,068,651,668.74
  5. Step 5: Solve for x
    x = 64,068,651,668.74/259,575.84
  6. Step 6: Final answer
    x = 246,820.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.