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Finding the Fourth Proportional to 162,234.80, 243,364.80 and 57,077.36

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Solution

The fourth proportional to 162,234.80, 243,364.80 and 57,077.36 is: 85,620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,234.80 : 243,364.80 = 57,077.36 : x
  2. Step 2: Convert to fraction form
    162,234.80/243,364.80 = 57,077.36/x
  3. Step 3: Cross multiply
    162,234.80x = 243,364.80 × 57,077.36
  4. Step 4: Simplify right side
    162,234.80x = 13,890,620,300.93
  5. Step 5: Solve for x
    x = 13,890,620,300.93/162,234.80
  6. Step 6: Final answer
    x = 85,620.47

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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.