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Finding the Fourth Proportional to 177,186.98, 263,804 and 174,705.14

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Solution

The fourth proportional to 177,186.98, 263,804 and 174,705.14 is: 260,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,186.98 : 263,804 = 174,705.14 : x
  2. Step 2: Convert to fraction form
    177,186.98/263,804 = 174,705.14/x
  3. Step 3: Cross multiply
    177,186.98x = 263,804 × 174,705.14
  4. Step 4: Simplify right side
    177,186.98x = 46,087,914,752.56
  5. Step 5: Solve for x
    x = 46,087,914,752.56/177,186.98
  6. Step 6: Final answer
    x = 260,108.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.