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Finding the Fourth Proportional to 242,891.73, 335,294.22 and 152,299.30

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Solution

The fourth proportional to 242,891.73, 335,294.22 and 152,299.30 is: 210,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,891.73 : 335,294.22 = 152,299.30 : x
  2. Step 2: Convert to fraction form
    242,891.73/335,294.22 = 152,299.30/x
  3. Step 3: Cross multiply
    242,891.73x = 335,294.22 × 152,299.30
  4. Step 4: Simplify right side
    242,891.73x = 51,065,075,000.05
  5. Step 5: Solve for x
    x = 51,065,075,000.05/242,891.73
  6. Step 6: Final answer
    x = 210,238.01

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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.