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Finding the Fourth Proportional to 233,782.16, 322,603.16 and 131,811.26

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Solution

The fourth proportional to 233,782.16, 322,603.16 and 131,811.26 is: 181,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,782.16 : 322,603.16 = 131,811.26 : x
  2. Step 2: Convert to fraction form
    233,782.16/322,603.16 = 131,811.26/x
  3. Step 3: Cross multiply
    233,782.16x = 322,603.16 × 131,811.26
  4. Step 4: Simplify right side
    233,782.16x = 42,522,728,999.58
  5. Step 5: Solve for x
    x = 42,522,728,999.58/233,782.16
  6. Step 6: Final answer
    x = 181,890.39

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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.