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Finding the Fourth Proportional to 211,661.51, 317,336.74 and 106,374.47

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Solution

The fourth proportional to 211,661.51, 317,336.74 and 106,374.47 is: 159,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,661.51 : 317,336.74 = 106,374.47 : x
  2. Step 2: Convert to fraction form
    211,661.51/317,336.74 = 106,374.47/x
  3. Step 3: Cross multiply
    211,661.51x = 317,336.74 × 106,374.47
  4. Step 4: Simplify right side
    211,661.51x = 33,756,525,676.41
  5. Step 5: Solve for x
    x = 33,756,525,676.41/211,661.51
  6. Step 6: Final answer
    x = 159,483.54

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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.