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Finding the Fourth Proportional to 201,245.76, 277,708.32 and 111,816

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Solution

The fourth proportional to 201,245.76, 277,708.32 and 111,816 is: 154,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,245.76 : 277,708.32 = 111,816 : x
  2. Step 2: Convert to fraction form
    201,245.76/277,708.32 = 111,816/x
  3. Step 3: Cross multiply
    201,245.76x = 277,708.32 × 111,816
  4. Step 4: Simplify right side
    201,245.76x = 31,052,233,509.12
  5. Step 5: Solve for x
    x = 31,052,233,509.12/201,245.76
  6. Step 6: Final answer
    x = 154,300.06

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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.