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Finding the Fourth Proportional to 195,458.96, 293,193.48 and 53,305.40

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Solution

The fourth proportional to 195,458.96, 293,193.48 and 53,305.40 is: 79,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,458.96 : 293,193.48 = 53,305.40 : x
  2. Step 2: Convert to fraction form
    195,458.96/293,193.48 = 53,305.40/x
  3. Step 3: Cross multiply
    195,458.96x = 293,193.48 × 53,305.40
  4. Step 4: Simplify right side
    195,458.96x = 15,628,795,728.79
  5. Step 5: Solve for x
    x = 15,628,795,728.79/195,458.96
  6. Step 6: Final answer
    x = 79,959.47

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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.