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Finding the Fourth Proportional to 241,462.70, 362,194.05 and 152,233.10

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Solution

The fourth proportional to 241,462.70, 362,194.05 and 152,233.10 is: 228,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,462.70 : 362,194.05 = 152,233.10 : x
  2. Step 2: Convert to fraction form
    241,462.70/362,194.05 = 152,233.10/x
  3. Step 3: Cross multiply
    241,462.70x = 362,194.05 × 152,233.10
  4. Step 4: Simplify right side
    241,462.70x = 55,137,923,033.06
  5. Step 5: Solve for x
    x = 55,137,923,033.06/241,462.70
  6. Step 6: Final answer
    x = 228,349.65

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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.