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Finding the Fourth Proportional to 233,141.67, 349,712.46 and 154,237.41

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Solution

The fourth proportional to 233,141.67, 349,712.46 and 154,237.41 is: 231,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,141.67 : 349,712.46 = 154,237.41 : x
  2. Step 2: Convert to fraction form
    233,141.67/349,712.46 = 154,237.41/x
  3. Step 3: Cross multiply
    233,141.67x = 349,712.46 × 154,237.41
  4. Step 4: Simplify right side
    233,141.67x = 53,938,744,075.13
  5. Step 5: Solve for x
    x = 53,938,744,075.13/233,141.67
  6. Step 6: Final answer
    x = 231,356.09

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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.