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Finding the Fourth Proportional to 182,838.48, 252,340.47 and 102,270.48

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Solution

The fourth proportional to 182,838.48, 252,340.47 and 102,270.48 is: 141,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,838.48 : 252,340.47 = 102,270.48 : x
  2. Step 2: Convert to fraction form
    182,838.48/252,340.47 = 102,270.48/x
  3. Step 3: Cross multiply
    182,838.48x = 252,340.47 × 102,270.48
  4. Step 4: Simplify right side
    182,838.48x = 25,806,980,990.33
  5. Step 5: Solve for x
    x = 25,806,980,990.33/182,838.48
  6. Step 6: Final answer
    x = 141,146.33

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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.