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Finding the Fourth Proportional to 260,694, 390,173.07 and 197,164.08

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Solution

The fourth proportional to 260,694, 390,173.07 and 197,164.08 is: 295,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,694 : 390,173.07 = 197,164.08 : x
  2. Step 2: Convert to fraction form
    260,694/390,173.07 = 197,164.08/x
  3. Step 3: Cross multiply
    260,694x = 390,173.07 × 197,164.08
  4. Step 4: Simplify right side
    260,694x = 76,928,114,387.33
  5. Step 5: Solve for x
    x = 76,928,114,387.33/260,694
  6. Step 6: Final answer
    x = 295,089.70

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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.