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Finding the Fourth Proportional to 345,343, 518,043.84 and 96,025

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Solution

The fourth proportional to 345,343, 518,043.84 and 96,025 is: 144,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,343 : 518,043.84 = 96,025 : x
  2. Step 2: Convert to fraction form
    345,343/518,043.84 = 96,025/x
  3. Step 3: Cross multiply
    345,343x = 518,043.84 × 96,025
  4. Step 4: Simplify right side
    345,343x = 49,745,159,736
  5. Step 5: Solve for x
    x = 49,745,159,736/345,343
  6. Step 6: Final answer
    x = 144,045.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.