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Finding the Fourth Proportional to 216,001.78, 298,083.32 and 120,512.50

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Solution

The fourth proportional to 216,001.78, 298,083.32 and 120,512.50 is: 166,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,001.78 : 298,083.32 = 120,512.50 : x
  2. Step 2: Convert to fraction form
    216,001.78/298,083.32 = 120,512.50/x
  3. Step 3: Cross multiply
    216,001.78x = 298,083.32 × 120,512.50
  4. Step 4: Simplify right side
    216,001.78x = 35,922,766,101.50
  5. Step 5: Solve for x
    x = 35,922,766,101.50/216,001.78
  6. Step 6: Final answer
    x = 166,307.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.