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Finding the Fourth Proportional to 264,082.50, 364,434.45 and 150,904.98

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Solution

The fourth proportional to 264,082.50, 364,434.45 and 150,904.98 is: 208,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,082.50 : 364,434.45 = 150,904.98 : x
  2. Step 2: Convert to fraction form
    264,082.50/364,434.45 = 150,904.98/x
  3. Step 3: Cross multiply
    264,082.50x = 364,434.45 × 150,904.98
  4. Step 4: Simplify right side
    264,082.50x = 54,994,973,388.56
  5. Step 5: Solve for x
    x = 54,994,973,388.56/264,082.50
  6. Step 6: Final answer
    x = 208,249.22

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1.5x scale

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.