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Finding the Fourth Proportional to 269,210.55, 371,505.77 and 146,704.01

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Solution

The fourth proportional to 269,210.55, 371,505.77 and 146,704.01 is: 202,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,210.55 : 371,505.77 = 146,704.01 : x
  2. Step 2: Convert to fraction form
    269,210.55/371,505.77 = 146,704.01/x
  3. Step 3: Cross multiply
    269,210.55x = 371,505.77 × 146,704.01
  4. Step 4: Simplify right side
    269,210.55x = 54,501,383,606.09
  5. Step 5: Solve for x
    x = 54,501,383,606.09/269,210.55
  6. Step 6: Final answer
    x = 202,448.91

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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.