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Finding the Fourth Proportional to 201,106.70, 301,830.15 and 82,862.90

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Solution

The fourth proportional to 201,106.70, 301,830.15 and 82,862.90 is: 124,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,106.70 : 301,830.15 = 82,862.90 : x
  2. Step 2: Convert to fraction form
    201,106.70/301,830.15 = 82,862.90/x
  3. Step 3: Cross multiply
    201,106.70x = 301,830.15 × 82,862.90
  4. Step 4: Simplify right side
    201,106.70x = 25,010,521,536.44
  5. Step 5: Solve for x
    x = 25,010,521,536.44/201,106.70
  6. Step 6: Final answer
    x = 124,364.44

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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.