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Finding the Fourth Proportional to 264,798.78, 397,073.02 and 96,201.53

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Solution

The fourth proportional to 264,798.78, 397,073.02 and 96,201.53 is: 144,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,798.78 : 397,073.02 = 96,201.53 : x
  2. Step 2: Convert to fraction form
    264,798.78/397,073.02 = 96,201.53/x
  3. Step 3: Cross multiply
    264,798.78x = 397,073.02 × 96,201.53
  4. Step 4: Simplify right side
    264,798.78x = 38,199,032,045.72
  5. Step 5: Solve for x
    x = 38,199,032,045.72/264,798.78
  6. Step 6: Final answer
    x = 144,256.83

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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.