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Finding the Fourth Proportional to 408,636.75, 612,955.13 and 113,148.75

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Solution

The fourth proportional to 408,636.75, 612,955.13 and 113,148.75 is: 169,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,636.75 : 612,955.13 = 113,148.75 : x
  2. Step 2: Convert to fraction form
    408,636.75/612,955.13 = 113,148.75/x
  3. Step 3: Cross multiply
    408,636.75x = 612,955.13 × 113,148.75
  4. Step 4: Simplify right side
    408,636.75x = 69,355,106,199.84
  5. Step 5: Solve for x
    x = 69,355,106,199.84/408,636.75
  6. Step 6: Final answer
    x = 169,723.13

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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.