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Finding the Fourth Proportional to 120,813.86, 181,196.15 and 45,907.71

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Solution

The fourth proportional to 120,813.86, 181,196.15 and 45,907.71 is: 68,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,813.86 : 181,196.15 = 45,907.71 : x
  2. Step 2: Convert to fraction form
    120,813.86/181,196.15 = 45,907.71/x
  3. Step 3: Cross multiply
    120,813.86x = 181,196.15 × 45,907.71
  4. Step 4: Simplify right side
    120,813.86x = 8,318,300,077.78
  5. Step 5: Solve for x
    x = 8,318,300,077.78/120,813.86
  6. Step 6: Final answer
    x = 68,852.20

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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.