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Finding the Fourth Proportional to 201,823.84, 276,500.04 and 194,256.88

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Solution

The fourth proportional to 201,823.84, 276,500.04 and 194,256.88 is: 266,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,823.84 : 276,500.04 = 194,256.88 : x
  2. Step 2: Convert to fraction form
    201,823.84/276,500.04 = 194,256.88/x
  3. Step 3: Cross multiply
    201,823.84x = 276,500.04 × 194,256.88
  4. Step 4: Simplify right side
    201,823.84x = 53,712,035,090.28
  5. Step 5: Solve for x
    x = 53,712,035,090.28/201,823.84
  6. Step 6: Final answer
    x = 266,133.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.