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Finding the Fourth Proportional to 237,225.96, 327,318.30 and 141,714

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Solution

The fourth proportional to 237,225.96, 327,318.30 and 141,714 is: 195,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,225.96 : 327,318.30 = 141,714 : x
  2. Step 2: Convert to fraction form
    237,225.96/327,318.30 = 141,714/x
  3. Step 3: Cross multiply
    237,225.96x = 327,318.30 × 141,714
  4. Step 4: Simplify right side
    237,225.96x = 46,385,585,566.20
  5. Step 5: Solve for x
    x = 46,385,585,566.20/237,225.96
  6. Step 6: Final answer
    x = 195,533.35

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Why These Related Problems?

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