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Finding the Fourth Proportional to 292,197.72, 438,238.26 and 92,484.12

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Solution

The fourth proportional to 292,197.72, 438,238.26 and 92,484.12 is: 138,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,197.72 : 438,238.26 = 92,484.12 : x
  2. Step 2: Convert to fraction form
    292,197.72/438,238.26 = 92,484.12/x
  3. Step 3: Cross multiply
    292,197.72x = 438,238.26 × 92,484.12
  4. Step 4: Simplify right side
    292,197.72x = 40,530,079,826.43
  5. Step 5: Solve for x
    x = 40,530,079,826.43/292,197.72
  6. Step 6: Final answer
    x = 138,707.72

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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.