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Finding the Fourth Proportional to 175,297.40, 262,946.10 and 164,929.40

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Solution

The fourth proportional to 175,297.40, 262,946.10 and 164,929.40 is: 247,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,297.40 : 262,946.10 = 164,929.40 : x
  2. Step 2: Convert to fraction form
    175,297.40/262,946.10 = 164,929.40/x
  3. Step 3: Cross multiply
    175,297.40x = 262,946.10 × 164,929.40
  4. Step 4: Simplify right side
    175,297.40x = 43,367,542,505.34
  5. Step 5: Solve for x
    x = 43,367,542,505.34/175,297.40
  6. Step 6: Final answer
    x = 247,394.10

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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.