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Finding the Fourth Proportional to 143,044.59, 197,355.92 and 82,607.25

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Solution

The fourth proportional to 143,044.59, 197,355.92 and 82,607.25 is: 113,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,044.59 : 197,355.92 = 82,607.25 : x
  2. Step 2: Convert to fraction form
    143,044.59/197,355.92 = 82,607.25/x
  3. Step 3: Cross multiply
    143,044.59x = 197,355.92 × 82,607.25
  4. Step 4: Simplify right side
    143,044.59x = 16,303,029,409.38
  5. Step 5: Solve for x
    x = 16,303,029,409.38/143,044.59
  6. Step 6: Final answer
    x = 113,971.66

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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.