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Finding the Fourth Proportional to 199,297.40, 298,946.10 and 146,809.40

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Solution

The fourth proportional to 199,297.40, 298,946.10 and 146,809.40 is: 220,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,297.40 : 298,946.10 = 146,809.40 : x
  2. Step 2: Convert to fraction form
    199,297.40/298,946.10 = 146,809.40/x
  3. Step 3: Cross multiply
    199,297.40x = 298,946.10 × 146,809.40
  4. Step 4: Simplify right side
    199,297.40x = 43,888,097,573.34
  5. Step 5: Solve for x
    x = 43,888,097,573.34/199,297.40
  6. Step 6: Final answer
    x = 220,214.10

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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.