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Finding the Fourth Proportional to 233,748.48, 350,714.88 and 86,016

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Solution

The fourth proportional to 233,748.48, 350,714.88 and 86,016 is: 129,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,748.48 : 350,714.88 = 86,016 : x
  2. Step 2: Convert to fraction form
    233,748.48/350,714.88 = 86,016/x
  3. Step 3: Cross multiply
    233,748.48x = 350,714.88 × 86,016
  4. Step 4: Simplify right side
    233,748.48x = 30,167,091,118.08
  5. Step 5: Solve for x
    x = 30,167,091,118.08/233,748.48
  6. Step 6: Final answer
    x = 129,057.91

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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.