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Finding the Fourth Proportional to 253,742.16, 350,201.46 and 146,291.20

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Solution

The fourth proportional to 253,742.16, 350,201.46 and 146,291.20 is: 201,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,742.16 : 350,201.46 = 146,291.20 : x
  2. Step 2: Convert to fraction form
    253,742.16/350,201.46 = 146,291.20/x
  3. Step 3: Cross multiply
    253,742.16x = 350,201.46 × 146,291.20
  4. Step 4: Simplify right side
    253,742.16x = 51,231,391,825.15
  5. Step 5: Solve for x
    x = 51,231,391,825.15/253,742.16
  6. Step 6: Final answer
    x = 201,903.35

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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.