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Finding the Fourth Proportional to 159,056.80, 238,410.24 and 65,511.52

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Solution

The fourth proportional to 159,056.80, 238,410.24 and 65,511.52 is: 98,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,056.80 : 238,410.24 = 65,511.52 : x
  2. Step 2: Convert to fraction form
    159,056.80/238,410.24 = 65,511.52/x
  3. Step 3: Cross multiply
    159,056.80x = 238,410.24 × 65,511.52
  4. Step 4: Simplify right side
    159,056.80x = 15,618,617,205.96
  5. Step 5: Solve for x
    x = 15,618,617,205.96/159,056.80
  6. Step 6: Final answer
    x = 98,195.22

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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.