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Finding the Fourth Proportional to 105,158.66, 145,135.62 and 66,878.30

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Solution

The fourth proportional to 105,158.66, 145,135.62 and 66,878.30 is: 92,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,158.66 : 145,135.62 = 66,878.30 : x
  2. Step 2: Convert to fraction form
    105,158.66/145,135.62 = 66,878.30/x
  3. Step 3: Cross multiply
    105,158.66x = 145,135.62 × 66,878.30
  4. Step 4: Simplify right side
    105,158.66x = 9,706,422,474.98
  5. Step 5: Solve for x
    x = 9,706,422,474.98/105,158.66
  6. Step 6: Final answer
    x = 92,302.65

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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.