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Finding the Fourth Proportional to 123,276.64, 184,914.96 and 52,210.48

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Solution

The fourth proportional to 123,276.64, 184,914.96 and 52,210.48 is: 78,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,276.64 : 184,914.96 = 52,210.48 : x
  2. Step 2: Convert to fraction form
    123,276.64/184,914.96 = 52,210.48/x
  3. Step 3: Cross multiply
    123,276.64x = 184,914.96 × 52,210.48
  4. Step 4: Simplify right side
    123,276.64x = 9,654,498,820.78
  5. Step 5: Solve for x
    x = 9,654,498,820.78/123,276.64
  6. Step 6: Final answer
    x = 78,315.72

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Why These Related Problems?

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