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Finding the Fourth Proportional to 242,157.87, 362,920.91 and 150,935.58

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Solution

The fourth proportional to 242,157.87, 362,920.91 and 150,935.58 is: 226,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,157.87 : 362,920.91 = 150,935.58 : x
  2. Step 2: Convert to fraction form
    242,157.87/362,920.91 = 150,935.58/x
  3. Step 3: Cross multiply
    242,157.87x = 362,920.91 × 150,935.58
  4. Step 4: Simplify right side
    242,157.87x = 54,777,677,290.30
  5. Step 5: Solve for x
    x = 54,777,677,290.30/242,157.87
  6. Step 6: Final answer
    x = 226,206.47

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1.5x scale

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.