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Finding the Fourth Proportional to 231,085.90, 346,480.43 and 96,243.47

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Solution

The fourth proportional to 231,085.90, 346,480.43 and 96,243.47 is: 144,303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,085.90 : 346,480.43 = 96,243.47 : x
  2. Step 2: Convert to fraction form
    231,085.90/346,480.43 = 96,243.47/x
  3. Step 3: Cross multiply
    231,085.90x = 346,480.43 × 96,243.47
  4. Step 4: Simplify right side
    231,085.90x = 33,346,477,137.89
  5. Step 5: Solve for x
    x = 33,346,477,137.89/231,085.90
  6. Step 6: Final answer
    x = 144,303.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.