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Finding the Fourth Proportional to 119,827, 165,360.94 and 66,111.84

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Solution

The fourth proportional to 119,827, 165,360.94 and 66,111.84 is: 91,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,827 : 165,360.94 = 66,111.84 : x
  2. Step 2: Convert to fraction form
    119,827/165,360.94 = 66,111.84/x
  3. Step 3: Cross multiply
    119,827x = 165,360.94 × 66,111.84
  4. Step 4: Simplify right side
    119,827x = 10,932,316,007.53
  5. Step 5: Solve for x
    x = 10,932,316,007.53/119,827
  6. Step 6: Final answer
    x = 91,234.16

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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.