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Finding the Fourth Proportional to 105,123.25, 145,086.70 and 66,842.90

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Solution

The fourth proportional to 105,123.25, 145,086.70 and 66,842.90 is: 92,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,123.25 : 145,086.70 = 66,842.90 : x
  2. Step 2: Convert to fraction form
    105,123.25/145,086.70 = 66,842.90/x
  3. Step 3: Cross multiply
    105,123.25x = 145,086.70 × 66,842.90
  4. Step 4: Simplify right side
    105,123.25x = 9,698,015,779.43
  5. Step 5: Solve for x
    x = 9,698,015,779.43/105,123.25
  6. Step 6: Final answer
    x = 92,253.77

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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.