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Finding the Fourth Proportional to 264,774, 365,136.66 and 174,206.82

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Solution

The fourth proportional to 264,774, 365,136.66 and 174,206.82 is: 240,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,774 : 365,136.66 = 174,206.82 : x
  2. Step 2: Convert to fraction form
    264,774/365,136.66 = 174,206.82/x
  3. Step 3: Cross multiply
    264,774x = 365,136.66 × 174,206.82
  4. Step 4: Simplify right side
    264,774x = 63,609,296,404.02
  5. Step 5: Solve for x
    x = 63,609,296,404.02/264,774
  6. Step 6: Final answer
    x = 240,239.96

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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.