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Finding the Fourth Proportional to 177,734.97, 245,274.47 and 102,283.53

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Solution

The fourth proportional to 177,734.97, 245,274.47 and 102,283.53 is: 141,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,734.97 : 245,274.47 = 102,283.53 : x
  2. Step 2: Convert to fraction form
    177,734.97/245,274.47 = 102,283.53/x
  3. Step 3: Cross multiply
    177,734.97x = 245,274.47 × 102,283.53
  4. Step 4: Simplify right side
    177,734.97x = 25,087,538,099.06
  5. Step 5: Solve for x
    x = 25,087,538,099.06/177,734.97
  6. Step 6: Final answer
    x = 141,151.39

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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.