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Finding the Fourth Proportional to 260,698.50, 390,179.82 and 197,168.58

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Solution

The fourth proportional to 260,698.50, 390,179.82 and 197,168.58 is: 295,096.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,698.50 : 390,179.82 = 197,168.58 : x
  2. Step 2: Convert to fraction form
    260,698.50/390,179.82 = 197,168.58/x
  3. Step 3: Cross multiply
    260,698.50x = 390,179.82 × 197,168.58
  4. Step 4: Simplify right side
    260,698.50x = 76,931,201,054.06
  5. Step 5: Solve for x
    x = 76,931,201,054.06/260,698.50
  6. Step 6: Final answer
    x = 295,096.45

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