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Finding the Fourth Proportional to 266,099.36, 399,149.04 and 97,556

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Solution

The fourth proportional to 266,099.36, 399,149.04 and 97,556 is: 146,334

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,099.36 : 399,149.04 = 97,556 : x
  2. Step 2: Convert to fraction form
    266,099.36/399,149.04 = 97,556/x
  3. Step 3: Cross multiply
    266,099.36x = 399,149.04 × 97,556
  4. Step 4: Simplify right side
    266,099.36x = 38,939,383,746.24
  5. Step 5: Solve for x
    x = 38,939,383,746.24/266,099.36
  6. Step 6: Final answer
    x = 146,334

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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.