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Finding the Fourth Proportional to 258,160.32, 356,259.84 and 144,983.04

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Solution

The fourth proportional to 258,160.32, 356,259.84 and 144,983.04 is: 200,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,160.32 : 356,259.84 = 144,983.04 : x
  2. Step 2: Convert to fraction form
    258,160.32/356,259.84 = 144,983.04/x
  3. Step 3: Cross multiply
    258,160.32x = 356,259.84 × 144,983.04
  4. Step 4: Simplify right side
    258,160.32x = 51,651,634,633.11
  5. Step 5: Solve for x
    x = 51,651,634,633.11/258,160.32
  6. Step 6: Final answer
    x = 200,075.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.