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Finding the Fourth Proportional to 195,431.94, 293,203.35 and 100,731.51

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Solution

The fourth proportional to 195,431.94, 293,203.35 and 100,731.51 is: 151,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,431.94 : 293,203.35 = 100,731.51 : x
  2. Step 2: Convert to fraction form
    195,431.94/293,203.35 = 100,731.51/x
  3. Step 3: Cross multiply
    195,431.94x = 293,203.35 × 100,731.51
  4. Step 4: Simplify right side
    195,431.94x = 29,534,816,182.56
  5. Step 5: Solve for x
    x = 29,534,816,182.56/195,431.94
  6. Step 6: Final answer
    x = 151,125.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.