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Finding the Fourth Proportional to 202,089.90, 302,806.80 and 127,075.80

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Solution

The fourth proportional to 202,089.90, 302,806.80 and 127,075.80 is: 190,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,089.90 : 302,806.80 = 127,075.80 : x
  2. Step 2: Convert to fraction form
    202,089.90/302,806.80 = 127,075.80/x
  3. Step 3: Cross multiply
    202,089.90x = 302,806.80 × 127,075.80
  4. Step 4: Simplify right side
    202,089.90x = 38,479,416,355.44
  5. Step 5: Solve for x
    x = 38,479,416,355.44/202,089.90
  6. Step 6: Final answer
    x = 190,407.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.