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Finding the Fourth Proportional to 185,410.32, 277,950.53 and 67,055.34

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Solution

The fourth proportional to 185,410.32, 277,950.53 and 67,055.34 is: 100,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,410.32 : 277,950.53 = 67,055.34 : x
  2. Step 2: Convert to fraction form
    185,410.32/277,950.53 = 67,055.34/x
  3. Step 3: Cross multiply
    185,410.32x = 277,950.53 × 67,055.34
  4. Step 4: Simplify right side
    185,410.32x = 18,638,067,292.33
  5. Step 5: Solve for x
    x = 18,638,067,292.33/185,410.32
  6. Step 6: Final answer
    x = 100,523.35

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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.