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Finding the Fourth Proportional to 177,282.69, 265,702.62 and 113,934.21

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Solution

The fourth proportional to 177,282.69, 265,702.62 and 113,934.21 is: 170,759.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,282.69 : 265,702.62 = 113,934.21 : x
  2. Step 2: Convert to fraction form
    177,282.69/265,702.62 = 113,934.21/x
  3. Step 3: Cross multiply
    177,282.69x = 265,702.62 × 113,934.21
  4. Step 4: Simplify right side
    177,282.69x = 30,272,618,104.63
  5. Step 5: Solve for x
    x = 30,272,618,104.63/177,282.69
  6. Step 6: Final answer
    x = 170,759.02

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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.