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Finding the Fourth Proportional to 275,351.90, 413,027.88 and 97,865.92

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Solution

The fourth proportional to 275,351.90, 413,027.88 and 97,865.92 is: 146,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,351.90 : 413,027.88 = 97,865.92 : x
  2. Step 2: Convert to fraction form
    275,351.90/413,027.88 = 97,865.92/x
  3. Step 3: Cross multiply
    275,351.90x = 413,027.88 × 97,865.92
  4. Step 4: Simplify right side
    275,351.90x = 40,421,353,461.85
  5. Step 5: Solve for x
    x = 40,421,353,461.85/275,351.90
  6. Step 6: Final answer
    x = 146,798.89

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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.