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Finding the Fourth Proportional to 254,075, 350,598.30 and 146,679.68

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Solution

The fourth proportional to 254,075, 350,598.30 and 146,679.68 is: 202,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,075 : 350,598.30 = 146,679.68 : x
  2. Step 2: Convert to fraction form
    254,075/350,598.30 = 146,679.68/x
  3. Step 3: Cross multiply
    254,075x = 350,598.30 × 146,679.68
  4. Step 4: Simplify right side
    254,075x = 51,425,646,452.54
  5. Step 5: Solve for x
    x = 51,425,646,452.54/254,075
  6. Step 6: Final answer
    x = 202,403.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.