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Finding the Fourth Proportional to 199,821.40, 299,473.72 and 149,506.73

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Solution

The fourth proportional to 199,821.40, 299,473.72 and 149,506.73 is: 224,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,821.40 : 299,473.72 = 149,506.73 : x
  2. Step 2: Convert to fraction form
    199,821.40/299,473.72 = 149,506.73/x
  3. Step 3: Cross multiply
    199,821.40x = 299,473.72 × 149,506.73
  4. Step 4: Simplify right side
    199,821.40x = 44,773,336,598.14
  5. Step 5: Solve for x
    x = 44,773,336,598.14/199,821.40
  6. Step 6: Final answer
    x = 224,066.77

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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.