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Finding the Fourth Proportional to 209,714.40, 313,880.40 and 162,712.80

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Solution

The fourth proportional to 209,714.40, 313,880.40 and 162,712.80 is: 243,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,714.40 : 313,880.40 = 162,712.80 : x
  2. Step 2: Convert to fraction form
    209,714.40/313,880.40 = 162,712.80/x
  3. Step 3: Cross multiply
    209,714.40x = 313,880.40 × 162,712.80
  4. Step 4: Simplify right side
    209,714.40x = 51,072,358,749.12
  5. Step 5: Solve for x
    x = 51,072,358,749.12/209,714.40
  6. Step 6: Final answer
    x = 243,532.91

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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.