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Finding the Fourth Proportional to 264,363.86, 364,822.59 and 143,505.23

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Solution

The fourth proportional to 264,363.86, 364,822.59 and 143,505.23 is: 198,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,363.86 : 364,822.59 = 143,505.23 : x
  2. Step 2: Convert to fraction form
    264,363.86/364,822.59 = 143,505.23/x
  3. Step 3: Cross multiply
    264,363.86x = 364,822.59 × 143,505.23
  4. Step 4: Simplify right side
    264,363.86x = 52,353,947,145.51
  5. Step 5: Solve for x
    x = 52,353,947,145.51/264,363.86
  6. Step 6: Final answer
    x = 198,037.46

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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.