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Finding the Fourth Proportional to 143,125.92, 197,512.80 and 78,596.32

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Solution

The fourth proportional to 143,125.92, 197,512.80 and 78,596.32 is: 108,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,125.92 : 197,512.80 = 78,596.32 : x
  2. Step 2: Convert to fraction form
    143,125.92/197,512.80 = 78,596.32/x
  3. Step 3: Cross multiply
    143,125.92x = 197,512.80 × 78,596.32
  4. Step 4: Simplify right side
    143,125.92x = 15,523,779,232.90
  5. Step 5: Solve for x
    x = 15,523,779,232.90/143,125.92
  6. Step 6: Final answer
    x = 108,462.39

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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.