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Finding the Fourth Proportional to 233,075.60, 349,786.20 and 154,163.60

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Solution

The fourth proportional to 233,075.60, 349,786.20 and 154,163.60 is: 231,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,075.60 : 349,786.20 = 154,163.60 : x
  2. Step 2: Convert to fraction form
    233,075.60/349,786.20 = 154,163.60/x
  3. Step 3: Cross multiply
    233,075.60x = 349,786.20 × 154,163.60
  4. Step 4: Simplify right side
    233,075.60x = 53,924,299,822.32
  5. Step 5: Solve for x
    x = 53,924,299,822.32/233,075.60
  6. Step 6: Final answer
    x = 231,359.70

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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.