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Finding the Fourth Proportional to 158,582.56, 218,843.78 and 85,987.84

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Solution

The fourth proportional to 158,582.56, 218,843.78 and 85,987.84 is: 118,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,582.56 : 218,843.78 = 85,987.84 : x
  2. Step 2: Convert to fraction form
    158,582.56/218,843.78 = 85,987.84/x
  3. Step 3: Cross multiply
    158,582.56x = 218,843.78 × 85,987.84
  4. Step 4: Simplify right side
    158,582.56x = 18,817,903,939.64
  5. Step 5: Solve for x
    x = 18,817,903,939.64/158,582.56
  6. Step 6: Final answer
    x = 118,663.14

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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.