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Finding the Fourth Proportional to 264,267.50, 395,934.14 and 139,695.98

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Solution

The fourth proportional to 264,267.50, 395,934.14 and 139,695.98 is: 209,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,267.50 : 395,934.14 = 139,695.98 : x
  2. Step 2: Convert to fraction form
    264,267.50/395,934.14 = 139,695.98/x
  3. Step 3: Cross multiply
    264,267.50x = 395,934.14 × 139,695.98
  4. Step 4: Simplify right side
    264,267.50x = 55,310,406,072.33
  5. Step 5: Solve for x
    x = 55,310,406,072.33/264,267.50
  6. Step 6: Final answer
    x = 209,297.05

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