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Finding the Fourth Proportional to 160,013.22, 239,878.83 and 65,322.96

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Solution

The fourth proportional to 160,013.22, 239,878.83 and 65,322.96 is: 97,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,013.22 : 239,878.83 = 65,322.96 : x
  2. Step 2: Convert to fraction form
    160,013.22/239,878.83 = 65,322.96/x
  3. Step 3: Cross multiply
    160,013.22x = 239,878.83 × 65,322.96
  4. Step 4: Simplify right side
    160,013.22x = 15,669,595,216.94
  5. Step 5: Solve for x
    x = 15,669,595,216.94/160,013.22
  6. Step 6: Final answer
    x = 97,926.88

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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.