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Finding the Fourth Proportional to 292,226.86, 438,342.92 and 92,548.23

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Solution

The fourth proportional to 292,226.86, 438,342.92 and 92,548.23 is: 138,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,226.86 : 438,342.92 = 92,548.23 : x
  2. Step 2: Convert to fraction form
    292,226.86/438,342.92 = 92,548.23/x
  3. Step 3: Cross multiply
    292,226.86x = 438,342.92 × 92,548.23
  4. Step 4: Simplify right side
    292,226.86x = 40,567,861,379.03
  5. Step 5: Solve for x
    x = 40,567,861,379.03/292,226.86
  6. Step 6: Final answer
    x = 138,823.18

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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.