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Finding the Fourth Proportional to 233,388.83, 322,147.98 and 136,615.32

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Solution

The fourth proportional to 233,388.83, 322,147.98 and 136,615.32 is: 188,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,388.83 : 322,147.98 = 136,615.32 : x
  2. Step 2: Convert to fraction form
    233,388.83/322,147.98 = 136,615.32/x
  3. Step 3: Cross multiply
    233,388.83x = 322,147.98 × 136,615.32
  4. Step 4: Simplify right side
    233,388.83x = 44,010,349,375.05
  5. Step 5: Solve for x
    x = 44,010,349,375.05/233,388.83
  6. Step 6: Final answer
    x = 188,570.94

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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.