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Finding the Fourth Proportional to 201,973.57, 278,739.57 and 111,345.64

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Solution

The fourth proportional to 201,973.57, 278,739.57 and 111,345.64 is: 153,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,973.57 : 278,739.57 = 111,345.64 : x
  2. Step 2: Convert to fraction form
    201,973.57/278,739.57 = 111,345.64/x
  3. Step 3: Cross multiply
    201,973.57x = 278,739.57 × 111,345.64
  4. Step 4: Simplify right side
    201,973.57x = 31,036,435,814.97
  5. Step 5: Solve for x
    x = 31,036,435,814.97/201,973.57
  6. Step 6: Final answer
    x = 153,665.83

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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.