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Finding the Fourth Proportional to 195,287.20, 292,940.40 and 101,975.20

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Solution

The fourth proportional to 195,287.20, 292,940.40 and 101,975.20 is: 152,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,287.20 : 292,940.40 = 101,975.20 : x
  2. Step 2: Convert to fraction form
    195,287.20/292,940.40 = 101,975.20/x
  3. Step 3: Cross multiply
    195,287.20x = 292,940.40 × 101,975.20
  4. Step 4: Simplify right side
    195,287.20x = 29,872,655,878.08
  5. Step 5: Solve for x
    x = 29,872,655,878.08/195,287.20
  6. Step 6: Final answer
    x = 152,967.81

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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.