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Finding the Fourth Proportional to 461,202.90, 691,804.35 and 162,021.30

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Solution

The fourth proportional to 461,202.90, 691,804.35 and 162,021.30 is: 243,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,202.90 : 691,804.35 = 162,021.30 : x
  2. Step 2: Convert to fraction form
    461,202.90/691,804.35 = 162,021.30/x
  3. Step 3: Cross multiply
    461,202.90x = 691,804.35 × 162,021.30
  4. Step 4: Simplify right side
    461,202.90x = 112,087,040,132.66
  5. Step 5: Solve for x
    x = 112,087,040,132.66/461,202.90
  6. Step 6: Final answer
    x = 243,031.95

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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.