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Finding the Fourth Proportional to 225,077.40, 310,981.14 and 177,693.48

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Solution

The fourth proportional to 225,077.40, 310,981.14 and 177,693.48 is: 245,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,077.40 : 310,981.14 = 177,693.48 : x
  2. Step 2: Convert to fraction form
    225,077.40/310,981.14 = 177,693.48/x
  3. Step 3: Cross multiply
    225,077.40x = 310,981.14 × 177,693.48
  4. Step 4: Simplify right side
    225,077.40x = 55,259,320,980.97
  5. Step 5: Solve for x
    x = 55,259,320,980.97/225,077.40
  6. Step 6: Final answer
    x = 245,512.53

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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.