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Finding the Fourth Proportional to 189,075.54, 260,929.89 and 104,198.07

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Solution

The fourth proportional to 189,075.54, 260,929.89 and 104,198.07 is: 143,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,075.54 : 260,929.89 = 104,198.07 : x
  2. Step 2: Convert to fraction form
    189,075.54/260,929.89 = 104,198.07/x
  3. Step 3: Cross multiply
    189,075.54x = 260,929.89 × 104,198.07
  4. Step 4: Simplify right side
    189,075.54x = 27,188,390,943.31
  5. Step 5: Solve for x
    x = 27,188,390,943.31/189,075.54
  6. Step 6: Final answer
    x = 143,796.45

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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.