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Finding the Fourth Proportional to 123,756.75, 185,638.77 and 30,262.50

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Solution

The fourth proportional to 123,756.75, 185,638.77 and 30,262.50 is: 45,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,756.75 : 185,638.77 = 30,262.50 : x
  2. Step 2: Convert to fraction form
    123,756.75/185,638.77 = 30,262.50/x
  3. Step 3: Cross multiply
    123,756.75x = 185,638.77 × 30,262.50
  4. Step 4: Simplify right side
    123,756.75x = 5,617,893,277.13
  5. Step 5: Solve for x
    x = 5,617,893,277.13/123,756.75
  6. Step 6: Final answer
    x = 45,394.64

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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.