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Finding the Fourth Proportional to 185,498.08, 255,964 and 110,032

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Solution

The fourth proportional to 185,498.08, 255,964 and 110,032 is: 151,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,498.08 : 255,964 = 110,032 : x
  2. Step 2: Convert to fraction form
    185,498.08/255,964 = 110,032/x
  3. Step 3: Cross multiply
    185,498.08x = 255,964 × 110,032
  4. Step 4: Simplify right side
    185,498.08x = 28,164,230,848
  5. Step 5: Solve for x
    x = 28,164,230,848/185,498.08
  6. Step 6: Final answer
    x = 151,830.31

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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.