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Finding the Fourth Proportional to 177,782.64, 245,224.44 and 114,019.44

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Solution

The fourth proportional to 177,782.64, 245,224.44 and 114,019.44 is: 157,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,782.64 : 245,224.44 = 114,019.44 : x
  2. Step 2: Convert to fraction form
    177,782.64/245,224.44 = 114,019.44/x
  3. Step 3: Cross multiply
    177,782.64x = 245,224.44 × 114,019.44
  4. Step 4: Simplify right side
    177,782.64x = 27,960,353,323.11
  5. Step 5: Solve for x
    x = 27,960,353,323.11/177,782.64
  6. Step 6: Final answer
    x = 157,272.69

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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.