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Finding the Fourth Proportional to 177,571.64, 245,054.75 and 97,006.65

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Solution

The fourth proportional to 177,571.64, 245,054.75 and 97,006.65 is: 133,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,571.64 : 245,054.75 = 97,006.65 : x
  2. Step 2: Convert to fraction form
    177,571.64/245,054.75 = 97,006.65/x
  3. Step 3: Cross multiply
    177,571.64x = 245,054.75 × 97,006.65
  4. Step 4: Simplify right side
    177,571.64x = 23,771,939,879.05
  5. Step 5: Solve for x
    x = 23,771,939,879.05/177,571.64
  6. Step 6: Final answer
    x = 133,872.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.