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Finding the Fourth Proportional to 177,457.80, 265,943.70 and 114,083.40

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Solution

The fourth proportional to 177,457.80, 265,943.70 and 114,083.40 is: 170,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,457.80 : 265,943.70 = 114,083.40 : x
  2. Step 2: Convert to fraction form
    177,457.80/265,943.70 = 114,083.40/x
  3. Step 3: Cross multiply
    177,457.80x = 265,943.70 × 114,083.40
  4. Step 4: Simplify right side
    177,457.80x = 30,339,761,504.58
  5. Step 5: Solve for x
    x = 30,339,761,504.58/177,457.80
  6. Step 6: Final answer
    x = 170,968.88

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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.