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Finding the Fourth Proportional to 105,618.67, 145,730.05 and 60,282.16

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Solution

The fourth proportional to 105,618.67, 145,730.05 and 60,282.16 is: 83,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,618.67 : 145,730.05 = 60,282.16 : x
  2. Step 2: Convert to fraction form
    105,618.67/145,730.05 = 60,282.16/x
  3. Step 3: Cross multiply
    105,618.67x = 145,730.05 × 60,282.16
  4. Step 4: Simplify right side
    105,618.67x = 8,784,922,190.91
  5. Step 5: Solve for x
    x = 8,784,922,190.91/105,618.67
  6. Step 6: Final answer
    x = 83,175.85

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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.