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Finding the Fourth Proportional to 174,969.30, 262,453.95 and 139,977.30

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Solution

The fourth proportional to 174,969.30, 262,453.95 and 139,977.30 is: 209,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,969.30 : 262,453.95 = 139,977.30 : x
  2. Step 2: Convert to fraction form
    174,969.30/262,453.95 = 139,977.30/x
  3. Step 3: Cross multiply
    174,969.30x = 262,453.95 × 139,977.30
  4. Step 4: Simplify right side
    174,969.30x = 36,737,595,295.34
  5. Step 5: Solve for x
    x = 36,737,595,295.34/174,969.30
  6. Step 6: Final answer
    x = 209,965.95

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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.