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Finding the Fourth Proportional to 123,274.60, 184,803.90 and 83,703.40

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Solution

The fourth proportional to 123,274.60, 184,803.90 and 83,703.40 is: 125,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,274.60 : 184,803.90 = 83,703.40 : x
  2. Step 2: Convert to fraction form
    123,274.60/184,803.90 = 83,703.40/x
  3. Step 3: Cross multiply
    123,274.60x = 184,803.90 × 83,703.40
  4. Step 4: Simplify right side
    123,274.60x = 15,468,714,763.26
  5. Step 5: Solve for x
    x = 15,468,714,763.26/123,274.60
  6. Step 6: Final answer
    x = 125,481.77

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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.