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Finding the Fourth Proportional to 195,075, 269,203.50 and 105,651

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Solution

The fourth proportional to 195,075, 269,203.50 and 105,651 is: 145,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,075 : 269,203.50 = 105,651 : x
  2. Step 2: Convert to fraction form
    195,075/269,203.50 = 105,651/x
  3. Step 3: Cross multiply
    195,075x = 269,203.50 × 105,651
  4. Step 4: Simplify right side
    195,075x = 28,441,618,978.50
  5. Step 5: Solve for x
    x = 28,441,618,978.50/195,075
  6. Step 6: Final answer
    x = 145,798.38

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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.