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Finding the Fourth Proportional to 264,268.50, 395,935.64 and 139,696.98

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Solution

The fourth proportional to 264,268.50, 395,935.64 and 139,696.98 is: 209,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,268.50 : 395,935.64 = 139,696.98 : x
  2. Step 2: Convert to fraction form
    264,268.50/395,935.64 = 139,696.98/x
  3. Step 3: Cross multiply
    264,268.50x = 395,935.64 × 139,696.98
  4. Step 4: Simplify right side
    264,268.50x = 55,311,013,182.37
  5. Step 5: Solve for x
    x = 55,311,013,182.37/264,268.50
  6. Step 6: Final answer
    x = 209,298.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.