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Finding the Fourth Proportional to 233,227, 349,841.31 and 64,760.50

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Solution

The fourth proportional to 233,227, 349,841.31 and 64,760.50 is: 97,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,227 : 349,841.31 = 64,760.50 : x
  2. Step 2: Convert to fraction form
    233,227/349,841.31 = 64,760.50/x
  3. Step 3: Cross multiply
    233,227x = 349,841.31 × 64,760.50
  4. Step 4: Simplify right side
    233,227x = 22,655,898,156.26
  5. Step 5: Solve for x
    x = 22,655,898,156.26/233,227
  6. Step 6: Final answer
    x = 97,140.97

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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.