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Finding the Fourth Proportional to 183,259.42, 274,932.18 and 56,893.22

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Solution

The fourth proportional to 183,259.42, 274,932.18 and 56,893.22 is: 85,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,259.42 : 274,932.18 = 56,893.22 : x
  2. Step 2: Convert to fraction form
    183,259.42/274,932.18 = 56,893.22/x
  3. Step 3: Cross multiply
    183,259.42x = 274,932.18 × 56,893.22
  4. Step 4: Simplify right side
    183,259.42x = 15,641,777,001.82
  5. Step 5: Solve for x
    x = 15,641,777,001.82/183,259.42
  6. Step 6: Final answer
    x = 85,353.19

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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.