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Finding the Fourth Proportional to 133,586.64, 200,401.74 and 63,442.26

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Solution

The fourth proportional to 133,586.64, 200,401.74 and 63,442.26 is: 95,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,586.64 : 200,401.74 = 63,442.26 : x
  2. Step 2: Convert to fraction form
    133,586.64/200,401.74 = 63,442.26/x
  3. Step 3: Cross multiply
    133,586.64x = 200,401.74 × 63,442.26
  4. Step 4: Simplify right side
    133,586.64x = 12,713,939,293.53
  5. Step 5: Solve for x
    x = 12,713,939,293.53/133,586.64
  6. Step 6: Final answer
    x = 95,173.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.