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Finding the Fourth Proportional to 201,942.73, 278,670.13 and 111,280.64

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Solution

The fourth proportional to 201,942.73, 278,670.13 and 111,280.64 is: 153,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,942.73 : 278,670.13 = 111,280.64 : x
  2. Step 2: Convert to fraction form
    201,942.73/278,670.13 = 111,280.64/x
  3. Step 3: Cross multiply
    201,942.73x = 278,670.13 × 111,280.64
  4. Step 4: Simplify right side
    201,942.73x = 31,010,590,415.28
  5. Step 5: Solve for x
    x = 31,010,590,415.28/201,942.73
  6. Step 6: Final answer
    x = 153,561.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.