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Finding the Fourth Proportional to 164,029.20, 245,698.20 and 136,381.20

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Solution

The fourth proportional to 164,029.20, 245,698.20 and 136,381.20 is: 204,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,029.20 : 245,698.20 = 136,381.20 : x
  2. Step 2: Convert to fraction form
    164,029.20/245,698.20 = 136,381.20/x
  3. Step 3: Cross multiply
    164,029.20x = 245,698.20 × 136,381.20
  4. Step 4: Simplify right side
    164,029.20x = 33,508,615,353.84
  5. Step 5: Solve for x
    x = 33,508,615,353.84/164,029.20
  6. Step 6: Final answer
    x = 204,284.45

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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.