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Finding the Fourth Proportional to 264,923.06, 365,729.22 and 204,357.74

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Solution

The fourth proportional to 264,923.06, 365,729.22 and 204,357.74 is: 282,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,923.06 : 365,729.22 = 204,357.74 : x
  2. Step 2: Convert to fraction form
    264,923.06/365,729.22 = 204,357.74/x
  3. Step 3: Cross multiply
    264,923.06x = 365,729.22 × 204,357.74
  4. Step 4: Simplify right side
    264,923.06x = 74,739,596,851.16
  5. Step 5: Solve for x
    x = 74,739,596,851.16/264,923.06
  6. Step 6: Final answer
    x = 282,118.12

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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.