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Finding the Fourth Proportional to 163,786.44, 245,187.56 and 146,676.80

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Solution

The fourth proportional to 163,786.44, 245,187.56 and 146,676.80 is: 219,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,786.44 : 245,187.56 = 146,676.80 : x
  2. Step 2: Convert to fraction form
    163,786.44/245,187.56 = 146,676.80/x
  3. Step 3: Cross multiply
    163,786.44x = 245,187.56 × 146,676.80
  4. Step 4: Simplify right side
    163,786.44x = 35,963,326,700.61
  5. Step 5: Solve for x
    x = 35,963,326,700.61/163,786.44
  6. Step 6: Final answer
    x = 219,574.51

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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.