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Finding the Fourth Proportional to 274,116.53, 411,210.21 and 105,685.02

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Solution

The fourth proportional to 274,116.53, 411,210.21 and 105,685.02 is: 158,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,116.53 : 411,210.21 = 105,685.02 : x
  2. Step 2: Convert to fraction form
    274,116.53/411,210.21 = 105,685.02/x
  3. Step 3: Cross multiply
    274,116.53x = 411,210.21 × 105,685.02
  4. Step 4: Simplify right side
    274,116.53x = 43,458,759,268.05
  5. Step 5: Solve for x
    x = 43,458,759,268.05/274,116.53
  6. Step 6: Final answer
    x = 158,541.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.