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Finding the Fourth Proportional to 201,412.89, 277,952.99 and 110,772.81

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Solution

The fourth proportional to 201,412.89, 277,952.99 and 110,772.81 is: 152,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,412.89 : 277,952.99 = 110,772.81 : x
  2. Step 2: Convert to fraction form
    201,412.89/277,952.99 = 110,772.81/x
  3. Step 3: Cross multiply
    201,412.89x = 277,952.99 × 110,772.81
  4. Step 4: Simplify right side
    201,412.89x = 30,789,633,196.34
  5. Step 5: Solve for x
    x = 30,789,633,196.34/201,412.89
  6. Step 6: Final answer
    x = 152,868.24

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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.