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Finding the Fourth Proportional to 353,882.63, 530,784.21 and 97,751.61

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Solution

The fourth proportional to 353,882.63, 530,784.21 and 97,751.61 is: 146,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,882.63 : 530,784.21 = 97,751.61 : x
  2. Step 2: Convert to fraction form
    353,882.63/530,784.21 = 97,751.61/x
  3. Step 3: Cross multiply
    353,882.63x = 530,784.21 × 97,751.61
  4. Step 4: Simplify right side
    353,882.63x = 51,885,010,906.79
  5. Step 5: Solve for x
    x = 51,885,010,906.79/353,882.63
  6. Step 6: Final answer
    x = 146,616.44

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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.