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Finding the Fourth Proportional to 185,077.66, 255,402.44 and 103,406.54

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Solution

The fourth proportional to 185,077.66, 255,402.44 and 103,406.54 is: 142,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,077.66 : 255,402.44 = 103,406.54 : x
  2. Step 2: Convert to fraction form
    185,077.66/255,402.44 = 103,406.54/x
  3. Step 3: Cross multiply
    185,077.66x = 255,402.44 × 103,406.54
  4. Step 4: Simplify right side
    185,077.66x = 26,410,282,627.96
  5. Step 5: Solve for x
    x = 26,410,282,627.96/185,077.66
  6. Step 6: Final answer
    x = 142,698.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.