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Finding the Fourth Proportional to 233,410.88, 322,111.12 and 137,917.32

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Solution

The fourth proportional to 233,410.88, 322,111.12 and 137,917.32 is: 190,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,410.88 : 322,111.12 = 137,917.32 : x
  2. Step 2: Convert to fraction form
    233,410.88/322,111.12 = 137,917.32/x
  3. Step 3: Cross multiply
    233,410.88x = 322,111.12 × 137,917.32
  4. Step 4: Simplify right side
    233,410.88x = 44,424,702,412.60
  5. Step 5: Solve for x
    x = 44,424,702,412.60/233,410.88
  6. Step 6: Final answer
    x = 190,328.33

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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.