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Finding the Fourth Proportional to 177,033.78, 265,661.37 and 71,852.74

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Solution

The fourth proportional to 177,033.78, 265,661.37 and 71,852.74 is: 107,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,033.78 : 265,661.37 = 71,852.74 : x
  2. Step 2: Convert to fraction form
    177,033.78/265,661.37 = 71,852.74/x
  3. Step 3: Cross multiply
    177,033.78x = 265,661.37 × 71,852.74
  4. Step 4: Simplify right side
    177,033.78x = 19,088,496,682.50
  5. Step 5: Solve for x
    x = 19,088,496,682.50/177,033.78
  6. Step 6: Final answer
    x = 107,824.04

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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.