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Finding the Fourth Proportional to 237,644.31, 356,347.85 and 77,699.41

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Solution

The fourth proportional to 237,644.31, 356,347.85 and 77,699.41 is: 116,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,644.31 : 356,347.85 = 77,699.41 : x
  2. Step 2: Convert to fraction form
    237,644.31/356,347.85 = 77,699.41/x
  3. Step 3: Cross multiply
    237,644.31x = 356,347.85 × 77,699.41
  4. Step 4: Simplify right side
    237,644.31x = 27,688,017,699.77
  5. Step 5: Solve for x
    x = 27,688,017,699.77/237,644.31
  6. Step 6: Final answer
    x = 116,510.33

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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.