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Finding the Fourth Proportional to 120,598.49, 180,897.75 and 41,669.66

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Solution

The fourth proportional to 120,598.49, 180,897.75 and 41,669.66 is: 62,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,598.49 : 180,897.75 = 41,669.66 : x
  2. Step 2: Convert to fraction form
    120,598.49/180,897.75 = 41,669.66/x
  3. Step 3: Cross multiply
    120,598.49x = 180,897.75 × 41,669.66
  4. Step 4: Simplify right side
    120,598.49x = 7,537,947,737.27
  5. Step 5: Solve for x
    x = 7,537,947,737.27/120,598.49
  6. Step 6: Final answer
    x = 62,504.50

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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.