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Finding the Fourth Proportional to 226,075.73, 311,967.36 and 124,084.98

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Solution

The fourth proportional to 226,075.73, 311,967.36 and 124,084.98 is: 171,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,075.73 : 311,967.36 = 124,084.98 : x
  2. Step 2: Convert to fraction form
    226,075.73/311,967.36 = 124,084.98/x
  3. Step 3: Cross multiply
    226,075.73x = 311,967.36 × 124,084.98
  4. Step 4: Simplify right side
    226,075.73x = 38,710,463,626.25
  5. Step 5: Solve for x
    x = 38,710,463,626.25/226,075.73
  6. Step 6: Final answer
    x = 171,227.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.