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Finding the Fourth Proportional to 116,714.90, 161,064.44 and 65,727.42

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Solution

The fourth proportional to 116,714.90, 161,064.44 and 65,727.42 is: 90,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,714.90 : 161,064.44 = 65,727.42 : x
  2. Step 2: Convert to fraction form
    116,714.90/161,064.44 = 65,727.42/x
  3. Step 3: Cross multiply
    116,714.90x = 161,064.44 × 65,727.42
  4. Step 4: Simplify right side
    116,714.90x = 10,586,350,094.94
  5. Step 5: Solve for x
    x = 10,586,350,094.94/116,714.90
  6. Step 6: Final answer
    x = 90,702.64

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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.