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Finding the Fourth Proportional to 264,805.44, 365,462.13 and 157,374.53

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Solution

The fourth proportional to 264,805.44, 365,462.13 and 157,374.53 is: 217,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,805.44 : 365,462.13 = 157,374.53 : x
  2. Step 2: Convert to fraction form
    264,805.44/365,462.13 = 157,374.53/x
  3. Step 3: Cross multiply
    264,805.44x = 365,462.13 × 157,374.53
  4. Step 4: Simplify right side
    264,805.44x = 57,514,430,941.55
  5. Step 5: Solve for x
    x = 57,514,430,941.55/264,805.44
  6. Step 6: Final answer
    x = 217,195.05

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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.