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Finding the Fourth Proportional to 264,561.82, 365,102.10 and 143,710.02

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Solution

The fourth proportional to 264,561.82, 365,102.10 and 143,710.02 is: 198,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,561.82 : 365,102.10 = 143,710.02 : x
  2. Step 2: Convert to fraction form
    264,561.82/365,102.10 = 143,710.02/x
  3. Step 3: Cross multiply
    264,561.82x = 365,102.10 × 143,710.02
  4. Step 4: Simplify right side
    264,561.82x = 52,468,830,093.04
  5. Step 5: Solve for x
    x = 52,468,830,093.04/264,561.82
  6. Step 6: Final answer
    x = 198,323.52

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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.