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Finding the Fourth Proportional to 292,028, 402,997.92 and 157,892

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Solution

The fourth proportional to 292,028, 402,997.92 and 157,892 is: 217,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,028 : 402,997.92 = 157,892 : x
  2. Step 2: Convert to fraction form
    292,028/402,997.92 = 157,892/x
  3. Step 3: Cross multiply
    292,028x = 402,997.92 × 157,892
  4. Step 4: Simplify right side
    292,028x = 63,630,147,584.64
  5. Step 5: Solve for x
    x = 63,630,147,584.64/292,028
  6. Step 6: Final answer
    x = 217,890.57

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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.