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Finding the Fourth Proportional to 201,231.94, 277,686.65 and 110,585.96

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Solution

The fourth proportional to 201,231.94, 277,686.65 and 110,585.96 is: 152,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,231.94 : 277,686.65 = 110,585.96 : x
  2. Step 2: Convert to fraction form
    201,231.94/277,686.65 = 110,585.96/x
  3. Step 3: Cross multiply
    201,231.94x = 277,686.65 × 110,585.96
  4. Step 4: Simplify right side
    201,231.94x = 30,708,244,769.43
  5. Step 5: Solve for x
    x = 30,708,244,769.43/201,231.94
  6. Step 6: Final answer
    x = 152,601.25

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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.