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Finding the Fourth Proportional to 224,082.80, 309,206.28 and 151,644.08

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Solution

The fourth proportional to 224,082.80, 309,206.28 and 151,644.08 is: 209,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,082.80 : 309,206.28 = 151,644.08 : x
  2. Step 2: Convert to fraction form
    224,082.80/309,206.28 = 151,644.08/x
  3. Step 3: Cross multiply
    224,082.80x = 309,206.28 × 151,644.08
  4. Step 4: Simplify right side
    224,082.80x = 46,889,301,860.82
  5. Step 5: Solve for x
    x = 46,889,301,860.82/224,082.80
  6. Step 6: Final answer
    x = 209,249.89

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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.