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Finding the Fourth Proportional to 264,359.64, 364,822.76 and 143,500.60

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Solution

The fourth proportional to 264,359.64, 364,822.76 and 143,500.60 is: 198,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,359.64 : 364,822.76 = 143,500.60 : x
  2. Step 2: Convert to fraction form
    264,359.64/364,822.76 = 143,500.60/x
  3. Step 3: Cross multiply
    264,359.64x = 364,822.76 × 143,500.60
  4. Step 4: Simplify right side
    264,359.64x = 52,352,284,953.66
  5. Step 5: Solve for x
    x = 52,352,284,953.66/264,359.64
  6. Step 6: Final answer
    x = 198,034.33

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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.