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Finding the Fourth Proportional to 195,607.84, 269,939.64 and 110,741.24

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Solution

The fourth proportional to 195,607.84, 269,939.64 and 110,741.24 is: 152,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,607.84 : 269,939.64 = 110,741.24 : x
  2. Step 2: Convert to fraction form
    195,607.84/269,939.64 = 110,741.24/x
  3. Step 3: Cross multiply
    195,607.84x = 269,939.64 × 110,741.24
  4. Step 4: Simplify right side
    195,607.84x = 29,893,450,458.75
  5. Step 5: Solve for x
    x = 29,893,450,458.75/195,607.84
  6. Step 6: Final answer
    x = 152,823.38

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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.