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Finding the Fourth Proportional to 209,758.40, 313,946.40 and 162,756.80

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Solution

The fourth proportional to 209,758.40, 313,946.40 and 162,756.80 is: 243,598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,758.40 : 313,946.40 = 162,756.80 : x
  2. Step 2: Convert to fraction form
    209,758.40/313,946.40 = 162,756.80/x
  3. Step 3: Cross multiply
    209,758.40x = 313,946.40 × 162,756.80
  4. Step 4: Simplify right side
    209,758.40x = 51,096,911,435.52
  5. Step 5: Solve for x
    x = 51,096,911,435.52/209,758.40
  6. Step 6: Final answer
    x = 243,598.88

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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.