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Finding the Fourth Proportional to 149,075.60, 223,613.40 and 102,419.60

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Solution

The fourth proportional to 149,075.60, 223,613.40 and 102,419.60 is: 153,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,075.60 : 223,613.40 = 102,419.60 : x
  2. Step 2: Convert to fraction form
    149,075.60/223,613.40 = 102,419.60/x
  3. Step 3: Cross multiply
    149,075.60x = 223,613.40 × 102,419.60
  4. Step 4: Simplify right side
    149,075.60x = 22,902,394,982.64
  5. Step 5: Solve for x
    x = 22,902,394,982.64/149,075.60
  6. Step 6: Final answer
    x = 153,629.40

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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.