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Finding the Fourth Proportional to 135,023.54, 202,410.11 and 46,255.95

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Solution

The fourth proportional to 135,023.54, 202,410.11 and 46,255.95 is: 69,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,023.54 : 202,410.11 = 46,255.95 : x
  2. Step 2: Convert to fraction form
    135,023.54/202,410.11 = 46,255.95/x
  3. Step 3: Cross multiply
    135,023.54x = 202,410.11 × 46,255.95
  4. Step 4: Simplify right side
    135,023.54x = 9,362,671,696.37
  5. Step 5: Solve for x
    x = 9,362,671,696.37/135,023.54
  6. Step 6: Final answer
    x = 69,341.04

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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.