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Finding the Fourth Proportional to 142,580, 196,812.32 and 82,964

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Solution

The fourth proportional to 142,580, 196,812.32 and 82,964 is: 114,520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,580 : 196,812.32 = 82,964 : x
  2. Step 2: Convert to fraction form
    142,580/196,812.32 = 82,964/x
  3. Step 3: Cross multiply
    142,580x = 196,812.32 × 82,964
  4. Step 4: Simplify right side
    142,580x = 16,328,337,316.48
  5. Step 5: Solve for x
    x = 16,328,337,316.48/142,580
  6. Step 6: Final answer
    x = 114,520.53

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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.