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Finding the Fourth Proportional to 183,200.42, 274,818 and 56,842.04

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Solution

The fourth proportional to 183,200.42, 274,818 and 56,842.04 is: 85,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,200.42 : 274,818 = 56,842.04 : x
  2. Step 2: Convert to fraction form
    183,200.42/274,818 = 56,842.04/x
  3. Step 3: Cross multiply
    183,200.42x = 274,818 × 56,842.04
  4. Step 4: Simplify right side
    183,200.42x = 15,621,215,748.72
  5. Step 5: Solve for x
    x = 15,621,215,748.72/183,200.42
  6. Step 6: Final answer
    x = 85,268.45

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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.