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Finding the Fourth Proportional to 231,830.40, 347,745.60 and 65,618.40

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Solution

The fourth proportional to 231,830.40, 347,745.60 and 65,618.40 is: 98,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,830.40 : 347,745.60 = 65,618.40 : x
  2. Step 2: Convert to fraction form
    231,830.40/347,745.60 = 65,618.40/x
  3. Step 3: Cross multiply
    231,830.40x = 347,745.60 × 65,618.40
  4. Step 4: Simplify right side
    231,830.40x = 22,818,509,879.04
  5. Step 5: Solve for x
    x = 22,818,509,879.04/231,830.40
  6. Step 6: Final answer
    x = 98,427.60

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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.