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Finding the Fourth Proportional to 231,235, 346,852.50 and 56,131

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Solution

The fourth proportional to 231,235, 346,852.50 and 56,131 is: 84,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,235 : 346,852.50 = 56,131 : x
  2. Step 2: Convert to fraction form
    231,235/346,852.50 = 56,131/x
  3. Step 3: Cross multiply
    231,235x = 346,852.50 × 56,131
  4. Step 4: Simplify right side
    231,235x = 19,469,177,677.50
  5. Step 5: Solve for x
    x = 19,469,177,677.50/231,235
  6. Step 6: Final answer
    x = 84,196.50

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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.