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Finding the Fourth Proportional to 264,564.81, 365,042.43 and 157,170.96

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Solution

The fourth proportional to 264,564.81, 365,042.43 and 157,170.96 is: 216,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,564.81 : 365,042.43 = 157,170.96 : x
  2. Step 2: Convert to fraction form
    264,564.81/365,042.43 = 157,170.96/x
  3. Step 3: Cross multiply
    264,564.81x = 365,042.43 × 157,170.96
  4. Step 4: Simplify right side
    264,564.81x = 57,374,069,163.83
  5. Step 5: Solve for x
    x = 57,374,069,163.83/264,564.81
  6. Step 6: Final answer
    x = 216,862.06

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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.