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Finding the Fourth Proportional to 188,911.70, 283,367.55 and 164,307.95

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Solution

The fourth proportional to 188,911.70, 283,367.55 and 164,307.95 is: 246,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,911.70 : 283,367.55 = 164,307.95 : x
  2. Step 2: Convert to fraction form
    188,911.70/283,367.55 = 164,307.95/x
  3. Step 3: Cross multiply
    188,911.70x = 283,367.55 × 164,307.95
  4. Step 4: Simplify right side
    188,911.70x = 46,559,541,237.02
  5. Step 5: Solve for x
    x = 46,559,541,237.02/188,911.70
  6. Step 6: Final answer
    x = 246,461.93

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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.