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Finding the Fourth Proportional to 188,420.86, 260,020.02 and 107,848

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Solution

The fourth proportional to 188,420.86, 260,020.02 and 107,848 is: 148,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,420.86 : 260,020.02 = 107,848 : x
  2. Step 2: Convert to fraction form
    188,420.86/260,020.02 = 107,848/x
  3. Step 3: Cross multiply
    188,420.86x = 260,020.02 × 107,848
  4. Step 4: Simplify right side
    188,420.86x = 28,042,639,116.96
  5. Step 5: Solve for x
    x = 28,042,639,116.96/188,420.86
  6. Step 6: Final answer
    x = 148,829.80

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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.