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Finding the Fourth Proportional to 235,431.40, 353,147.10 and 188,775.40

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Solution

The fourth proportional to 235,431.40, 353,147.10 and 188,775.40 is: 283,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,431.40 : 353,147.10 = 188,775.40 : x
  2. Step 2: Convert to fraction form
    235,431.40/353,147.10 = 188,775.40/x
  3. Step 3: Cross multiply
    235,431.40x = 353,147.10 × 188,775.40
  4. Step 4: Simplify right side
    235,431.40x = 66,665,485,061.34
  5. Step 5: Solve for x
    x = 66,665,485,061.34/235,431.40
  6. Step 6: Final answer
    x = 283,163.10

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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.