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Finding the Fourth Proportional to 265,762.82, 366,745.92 and 144,904.34

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Solution

The fourth proportional to 265,762.82, 366,745.92 and 144,904.34 is: 199,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,762.82 : 366,745.92 = 144,904.34 : x
  2. Step 2: Convert to fraction form
    265,762.82/366,745.92 = 144,904.34/x
  3. Step 3: Cross multiply
    265,762.82x = 366,745.92 × 144,904.34
  4. Step 4: Simplify right side
    265,762.82x = 53,143,075,485.29
  5. Step 5: Solve for x
    x = 53,143,075,485.29/265,762.82
  6. Step 6: Final answer
    x = 199,964.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.