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Finding the Fourth Proportional to 123,749.76, 185,628.28 and 30,255.50

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Solution

The fourth proportional to 123,749.76, 185,628.28 and 30,255.50 is: 45,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,749.76 : 185,628.28 = 30,255.50 : x
  2. Step 2: Convert to fraction form
    123,749.76/185,628.28 = 30,255.50/x
  3. Step 3: Cross multiply
    123,749.76x = 185,628.28 × 30,255.50
  4. Step 4: Simplify right side
    123,749.76x = 5,616,276,425.54
  5. Step 5: Solve for x
    x = 5,616,276,425.54/123,749.76
  6. Step 6: Final answer
    x = 45,384.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.