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Finding the Fourth Proportional to 201,354.46, 277,871.01 and 110,711.00

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Solution

The fourth proportional to 201,354.46, 277,871.01 and 110,711.00 is: 152,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,354.46 : 277,871.01 = 110,711.00 : x
  2. Step 2: Convert to fraction form
    201,354.46/277,871.01 = 110,711.00/x
  3. Step 3: Cross multiply
    201,354.46x = 277,871.01 × 110,711.00
  4. Step 4: Simplify right side
    201,354.46x = 30,763,377,667.62
  5. Step 5: Solve for x
    x = 30,763,377,667.62/201,354.46
  6. Step 6: Final answer
    x = 152,782.20

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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.