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Finding the Fourth Proportional to 97,898.76, 134,980.98 and 82,765.32

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Solution

The fourth proportional to 97,898.76, 134,980.98 and 82,765.32 is: 114,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,898.76 : 134,980.98 = 82,765.32 : x
  2. Step 2: Convert to fraction form
    97,898.76/134,980.98 = 82,765.32/x
  3. Step 3: Cross multiply
    97,898.76x = 134,980.98 × 82,765.32
  4. Step 4: Simplify right side
    97,898.76x = 11,171,744,003.61
  5. Step 5: Solve for x
    x = 11,171,744,003.61/97,898.76
  6. Step 6: Final answer
    x = 114,115.28

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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.