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Finding the Fourth Proportional to 259,442.40, 357,989.32 and 146,243.28

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Solution

The fourth proportional to 259,442.40, 357,989.32 and 146,243.28 is: 201,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,442.40 : 357,989.32 = 146,243.28 : x
  2. Step 2: Convert to fraction form
    259,442.40/357,989.32 = 146,243.28/x
  3. Step 3: Cross multiply
    259,442.40x = 357,989.32 × 146,243.28
  4. Step 4: Simplify right side
    259,442.40x = 52,353,532,361.77
  5. Step 5: Solve for x
    x = 52,353,532,361.77/259,442.40
  6. Step 6: Final answer
    x = 201,792.51

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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.