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Finding the Fourth Proportional to 160,411.78, 241,053.86 and 85,584.79

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Solution

The fourth proportional to 160,411.78, 241,053.86 and 85,584.79 is: 128,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,411.78 : 241,053.86 = 85,584.79 : x
  2. Step 2: Convert to fraction form
    160,411.78/241,053.86 = 85,584.79/x
  3. Step 3: Cross multiply
    160,411.78x = 241,053.86 × 85,584.79
  4. Step 4: Simplify right side
    160,411.78x = 20,630,543,986.79
  5. Step 5: Solve for x
    x = 20,630,543,986.79/160,411.78
  6. Step 6: Final answer
    x = 128,609.91

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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.