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Finding the Fourth Proportional to 131,592.96, 197,418.60 and 61,434

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Solution

The fourth proportional to 131,592.96, 197,418.60 and 61,434 is: 92,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,592.96 : 197,418.60 = 61,434 : x
  2. Step 2: Convert to fraction form
    131,592.96/197,418.60 = 61,434/x
  3. Step 3: Cross multiply
    131,592.96x = 197,418.60 × 61,434
  4. Step 4: Simplify right side
    131,592.96x = 12,128,214,272.40
  5. Step 5: Solve for x
    x = 12,128,214,272.40/131,592.96
  6. Step 6: Final answer
    x = 92,164.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.