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Finding the Fourth Proportional to 264,783.88, 365,361.04 and 157,314.16

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Solution

The fourth proportional to 264,783.88, 365,361.04 and 157,314.16 is: 217,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,783.88 : 365,361.04 = 157,314.16 : x
  2. Step 2: Convert to fraction form
    264,783.88/365,361.04 = 157,314.16/x
  3. Step 3: Cross multiply
    264,783.88x = 365,361.04 × 157,314.16
  4. Step 4: Simplify right side
    264,783.88x = 57,476,465,104.33
  5. Step 5: Solve for x
    x = 57,476,465,104.33/264,783.88
  6. Step 6: Final answer
    x = 217,069.35

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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.