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Finding the Fourth Proportional to 201,118.92, 277,315.86 and 164,706.76

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Solution

The fourth proportional to 201,118.92, 277,315.86 and 164,706.76 is: 227,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,118.92 : 277,315.86 = 164,706.76 : x
  2. Step 2: Convert to fraction form
    201,118.92/277,315.86 = 164,706.76/x
  3. Step 3: Cross multiply
    201,118.92x = 277,315.86 × 164,706.76
  4. Step 4: Simplify right side
    201,118.92x = 45,675,796,797.21
  5. Step 5: Solve for x
    x = 45,675,796,797.21/201,118.92
  6. Step 6: Final answer
    x = 227,108.40

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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.