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Finding the Fourth Proportional to 258,166.63, 356,303.36 and 144,989.38

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Solution

The fourth proportional to 258,166.63, 356,303.36 and 144,989.38 is: 200,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,166.63 : 356,303.36 = 144,989.38 : x
  2. Step 2: Convert to fraction form
    258,166.63/356,303.36 = 144,989.38/x
  3. Step 3: Cross multiply
    258,166.63x = 356,303.36 × 144,989.38
  4. Step 4: Simplify right side
    258,166.63x = 51,660,200,751.85
  5. Step 5: Solve for x
    x = 51,660,200,751.85/258,166.63
  6. Step 6: Final answer
    x = 200,104.10

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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.