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Finding the Fourth Proportional to 264,575.12, 365,094.78 and 149,820.80

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Solution

The fourth proportional to 264,575.12, 365,094.78 and 149,820.80 is: 206,742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,575.12 : 365,094.78 = 149,820.80 : x
  2. Step 2: Convert to fraction form
    264,575.12/365,094.78 = 149,820.80/x
  3. Step 3: Cross multiply
    264,575.12x = 365,094.78 × 149,820.80
  4. Step 4: Simplify right side
    264,575.12x = 54,698,792,015.42
  5. Step 5: Solve for x
    x = 54,698,792,015.42/264,575.12
  6. Step 6: Final answer
    x = 206,742.01

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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.