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Finding the Fourth Proportional to 237,207.84, 327,233.72 and 146,531.16

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Solution

The fourth proportional to 237,207.84, 327,233.72 and 146,531.16 is: 202,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,207.84 : 327,233.72 = 146,531.16 : x
  2. Step 2: Convert to fraction form
    237,207.84/327,233.72 = 146,531.16/x
  3. Step 3: Cross multiply
    237,207.84x = 327,233.72 × 146,531.16
  4. Step 4: Simplify right side
    237,207.84x = 47,949,936,582.72
  5. Step 5: Solve for x
    x = 47,949,936,582.72/237,207.84
  6. Step 6: Final answer
    x = 202,143.14

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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.