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Finding the Fourth Proportional to 189,075.53, 260,911.89 and 104,192.57

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Solution

The fourth proportional to 189,075.53, 260,911.89 and 104,192.57 is: 143,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,075.53 : 260,911.89 = 104,192.57 : x
  2. Step 2: Convert to fraction form
    189,075.53/260,911.89 = 104,192.57/x
  3. Step 3: Cross multiply
    189,075.53x = 260,911.89 × 104,192.57
  4. Step 4: Simplify right side
    189,075.53x = 27,185,079,058.10
  5. Step 5: Solve for x
    x = 27,185,079,058.10/189,075.53
  6. Step 6: Final answer
    x = 143,778.94

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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.