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Finding the Fourth Proportional to 421,089.03, 631,732.70 and 136,778.69

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Solution

The fourth proportional to 421,089.03, 631,732.70 and 136,778.69 is: 205,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,089.03 : 631,732.70 = 136,778.69 : x
  2. Step 2: Convert to fraction form
    421,089.03/631,732.70 = 136,778.69/x
  3. Step 3: Cross multiply
    421,089.03x = 631,732.70 × 136,778.69
  4. Step 4: Simplify right side
    421,089.03x = 86,407,573,057.44
  5. Step 5: Solve for x
    x = 86,407,573,057.44/421,089.03
  6. Step 6: Final answer
    x = 205,200.25

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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.