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Finding the Fourth Proportional to 97,714.30, 146,895.45 and 84,883.90

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Solution

The fourth proportional to 97,714.30, 146,895.45 and 84,883.90 is: 127,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,714.30 : 146,895.45 = 84,883.90 : x
  2. Step 2: Convert to fraction form
    97,714.30/146,895.45 = 84,883.90/x
  3. Step 3: Cross multiply
    97,714.30x = 146,895.45 × 84,883.90
  4. Step 4: Simplify right side
    97,714.30x = 12,469,058,688.26
  5. Step 5: Solve for x
    x = 12,469,058,688.26/97,714.30
  6. Step 6: Final answer
    x = 127,607.31

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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.