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Finding the Fourth Proportional to 131,493.96, 197,270.10 and 61,335

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Solution

The fourth proportional to 131,493.96, 197,270.10 and 61,335 is: 92,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,493.96 : 197,270.10 = 61,335 : x
  2. Step 2: Convert to fraction form
    131,493.96/197,270.10 = 61,335/x
  3. Step 3: Cross multiply
    131,493.96x = 197,270.10 × 61,335
  4. Step 4: Simplify right side
    131,493.96x = 12,099,561,583.50
  5. Step 5: Solve for x
    x = 12,099,561,583.50/131,493.96
  6. Step 6: Final answer
    x = 92,016.10

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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.