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Finding the Fourth Proportional to 177,096.12, 265,384.98 and 139,747.56

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Solution

The fourth proportional to 177,096.12, 265,384.98 and 139,747.56 is: 209,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,096.12 : 265,384.98 = 139,747.56 : x
  2. Step 2: Convert to fraction form
    177,096.12/265,384.98 = 139,747.56/x
  3. Step 3: Cross multiply
    177,096.12x = 265,384.98 × 139,747.56
  4. Step 4: Simplify right side
    177,096.12x = 37,086,903,415.65
  5. Step 5: Solve for x
    x = 37,086,903,415.65/177,096.12
  6. Step 6: Final answer
    x = 209,416.80

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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.