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Finding the Fourth Proportional to 105,181.84, 145,150.74 and 67,456

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Solution

The fourth proportional to 105,181.84, 145,150.74 and 67,456 is: 93,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,181.84 : 145,150.74 = 67,456 : x
  2. Step 2: Convert to fraction form
    105,181.84/145,150.74 = 67,456/x
  3. Step 3: Cross multiply
    105,181.84x = 145,150.74 × 67,456
  4. Step 4: Simplify right side
    105,181.84x = 9,791,288,317.44
  5. Step 5: Solve for x
    x = 9,791,288,317.44/105,181.84
  6. Step 6: Final answer
    x = 93,089.15

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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.