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Finding the Fourth Proportional to 158,823.28, 238,231.92 and 64,051.48

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Solution

The fourth proportional to 158,823.28, 238,231.92 and 64,051.48 is: 96,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,823.28 : 238,231.92 = 64,051.48 : x
  2. Step 2: Convert to fraction form
    158,823.28/238,231.92 = 64,051.48/x
  3. Step 3: Cross multiply
    158,823.28x = 238,231.92 × 64,051.48
  4. Step 4: Simplify right side
    158,823.28x = 15,259,107,059.24
  5. Step 5: Solve for x
    x = 15,259,107,059.24/158,823.28
  6. Step 6: Final answer
    x = 96,076.01

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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.