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Finding the Fourth Proportional to 139,757.52, 209,669.04 and 46,263.24

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Solution

The fourth proportional to 139,757.52, 209,669.04 and 46,263.24 is: 69,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,757.52 : 209,669.04 = 46,263.24 : x
  2. Step 2: Convert to fraction form
    139,757.52/209,669.04 = 46,263.24/x
  3. Step 3: Cross multiply
    139,757.52x = 209,669.04 × 46,263.24
  4. Step 4: Simplify right side
    139,757.52x = 9,699,969,118.09
  5. Step 5: Solve for x
    x = 9,699,969,118.09/139,757.52
  6. Step 6: Final answer
    x = 69,405.70

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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.