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Finding the Fourth Proportional to 197,269.80, 295,710.30 and 97,445.40

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Solution

The fourth proportional to 197,269.80, 295,710.30 and 97,445.40 is: 146,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,269.80 : 295,710.30 = 97,445.40 : x
  2. Step 2: Convert to fraction form
    197,269.80/295,710.30 = 97,445.40/x
  3. Step 3: Cross multiply
    197,269.80x = 295,710.30 × 97,445.40
  4. Step 4: Simplify right side
    197,269.80x = 28,815,608,467.62
  5. Step 5: Solve for x
    x = 28,815,608,467.62/197,269.80
  6. Step 6: Final answer
    x = 146,072.07

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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.