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Finding the Fourth Proportional to 195,438.80, 293,784.60 and 181,571.60

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Solution

The fourth proportional to 195,438.80, 293,784.60 and 181,571.60 is: 272,939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,438.80 : 293,784.60 = 181,571.60 : x
  2. Step 2: Convert to fraction form
    195,438.80/293,784.60 = 181,571.60/x
  3. Step 3: Cross multiply
    195,438.80x = 293,784.60 × 181,571.60
  4. Step 4: Simplify right side
    195,438.80x = 53,342,939,877.36
  5. Step 5: Solve for x
    x = 53,342,939,877.36/195,438.80
  6. Step 6: Final answer
    x = 272,939.35

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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.