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Finding the Fourth Proportional to 264,683.64, 397,080.26 and 87,201.56

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Solution

The fourth proportional to 264,683.64, 397,080.26 and 87,201.56 is: 130,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,683.64 : 397,080.26 = 87,201.56 : x
  2. Step 2: Convert to fraction form
    264,683.64/397,080.26 = 87,201.56/x
  3. Step 3: Cross multiply
    264,683.64x = 397,080.26 × 87,201.56
  4. Step 4: Simplify right side
    264,683.64x = 34,626,018,117.21
  5. Step 5: Solve for x
    x = 34,626,018,117.21/264,683.64
  6. Step 6: Final answer
    x = 130,820.39

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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.