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Finding the Fourth Proportional to 253,742.54, 350,202.01 and 146,291.58

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Solution

The fourth proportional to 253,742.54, 350,202.01 and 146,291.58 is: 201,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,742.54 : 350,202.01 = 146,291.58 : x
  2. Step 2: Convert to fraction form
    253,742.54/350,202.01 = 146,291.58/x
  3. Step 3: Cross multiply
    253,742.54x = 350,202.01 × 146,291.58
  4. Step 4: Simplify right side
    253,742.54x = 51,231,605,362.08
  5. Step 5: Solve for x
    x = 51,231,605,362.08/253,742.54
  6. Step 6: Final answer
    x = 201,903.89

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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.