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Finding the Fourth Proportional to 258,075.84, 356,144.40 and 144,899.04

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Solution

The fourth proportional to 258,075.84, 356,144.40 and 144,899.04 is: 199,960.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,075.84 : 356,144.40 = 144,899.04 : x
  2. Step 2: Convert to fraction form
    258,075.84/356,144.40 = 144,899.04/x
  3. Step 3: Cross multiply
    258,075.84x = 356,144.40 × 144,899.04
  4. Step 4: Simplify right side
    258,075.84x = 51,604,981,661.38
  5. Step 5: Solve for x
    x = 51,604,981,661.38/258,075.84
  6. Step 6: Final answer
    x = 199,960.53

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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.