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Finding the Fourth Proportional to 228,523.88, 342,657.64 and 156,558.12

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Solution

The fourth proportional to 228,523.88, 342,657.64 and 156,558.12 is: 234,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,523.88 : 342,657.64 = 156,558.12 : x
  2. Step 2: Convert to fraction form
    228,523.88/342,657.64 = 156,558.12/x
  3. Step 3: Cross multiply
    228,523.88x = 342,657.64 × 156,558.12
  4. Step 4: Simplify right side
    228,523.88x = 53,645,834,832.77
  5. Step 5: Solve for x
    x = 53,645,834,832.77/228,523.88
  6. Step 6: Final answer
    x = 234,749.36

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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.