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Finding the Fourth Proportional to 188,385.86, 259,971.72 and 107,813

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Solution

The fourth proportional to 188,385.86, 259,971.72 and 107,813 is: 148,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,385.86 : 259,971.72 = 107,813 : x
  2. Step 2: Convert to fraction form
    188,385.86/259,971.72 = 107,813/x
  3. Step 3: Cross multiply
    188,385.86x = 259,971.72 × 107,813
  4. Step 4: Simplify right side
    188,385.86x = 28,028,331,048.36
  5. Step 5: Solve for x
    x = 28,028,331,048.36/188,385.86
  6. Step 6: Final answer
    x = 148,781.50

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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.