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Finding the Fourth Proportional to 192,643.56, 265,876.32 and 110,956.11

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Solution

The fourth proportional to 192,643.56, 265,876.32 and 110,956.11 is: 153,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,643.56 : 265,876.32 = 110,956.11 : x
  2. Step 2: Convert to fraction form
    192,643.56/265,876.32 = 110,956.11/x
  3. Step 3: Cross multiply
    192,643.56x = 265,876.32 × 110,956.11
  4. Step 4: Simplify right side
    192,643.56x = 29,500,602,208.32
  5. Step 5: Solve for x
    x = 29,500,602,208.32/192,643.56
  6. Step 6: Final answer
    x = 153,135.68

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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.