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Finding the Fourth Proportional to 184,425.80, 276,638.70 and 105,693.80

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Solution

The fourth proportional to 184,425.80, 276,638.70 and 105,693.80 is: 158,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,425.80 : 276,638.70 = 105,693.80 : x
  2. Step 2: Convert to fraction form
    184,425.80/276,638.70 = 105,693.80/x
  3. Step 3: Cross multiply
    184,425.80x = 276,638.70 × 105,693.80
  4. Step 4: Simplify right side
    184,425.80x = 29,238,995,430.06
  5. Step 5: Solve for x
    x = 29,238,995,430.06/184,425.80
  6. Step 6: Final answer
    x = 158,540.70

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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.