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Finding the Fourth Proportional to 235,335.84, 353,003.22 and 102,198.84

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Solution

The fourth proportional to 235,335.84, 353,003.22 and 102,198.84 is: 153,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,335.84 : 353,003.22 = 102,198.84 : x
  2. Step 2: Convert to fraction form
    235,335.84/353,003.22 = 102,198.84/x
  3. Step 3: Cross multiply
    235,335.84x = 353,003.22 × 102,198.84
  4. Step 4: Simplify right side
    235,335.84x = 36,076,519,600.26
  5. Step 5: Solve for x
    x = 36,076,519,600.26/235,335.84
  6. Step 6: Final answer
    x = 153,298.03

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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.