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Finding the Fourth Proportional to 137,874.86, 190,281.24 and 84,191.30

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Solution

The fourth proportional to 137,874.86, 190,281.24 and 84,191.30 is: 116,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,874.86 : 190,281.24 = 84,191.30 : x
  2. Step 2: Convert to fraction form
    137,874.86/190,281.24 = 84,191.30/x
  3. Step 3: Cross multiply
    137,874.86x = 190,281.24 × 84,191.30
  4. Step 4: Simplify right side
    137,874.86x = 16,020,024,961.21
  5. Step 5: Solve for x
    x = 16,020,024,961.21/137,874.86
  6. Step 6: Final answer
    x = 116,192.50

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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.