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Finding the Fourth Proportional to 401,771.10, 602,231.40 and 148,889.10

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Solution

The fourth proportional to 401,771.10, 602,231.40 and 148,889.10 is: 223,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,771.10 : 602,231.40 = 148,889.10 : x
  2. Step 2: Convert to fraction form
    401,771.10/602,231.40 = 148,889.10/x
  3. Step 3: Cross multiply
    401,771.10x = 602,231.40 × 148,889.10
  4. Step 4: Simplify right side
    401,771.10x = 89,665,691,137.74
  5. Step 5: Solve for x
    x = 89,665,691,137.74/401,771.10
  6. Step 6: Final answer
    x = 223,176.06

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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.