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Finding the Fourth Proportional to 209,698.41, 314,548.17 and 97,364.37

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Solution

The fourth proportional to 209,698.41, 314,548.17 and 97,364.37 is: 146,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,698.41 : 314,548.17 = 97,364.37 : x
  2. Step 2: Convert to fraction form
    209,698.41/314,548.17 = 97,364.37/x
  3. Step 3: Cross multiply
    209,698.41x = 314,548.17 × 97,364.37
  4. Step 4: Simplify right side
    209,698.41x = 30,625,784,406.70
  5. Step 5: Solve for x
    x = 30,625,784,406.70/209,698.41
  6. Step 6: Final answer
    x = 146,046.81

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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.