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Finding the Fourth Proportional to 160,678.96, 221,584.01 and 96,137.87

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Solution

The fourth proportional to 160,678.96, 221,584.01 and 96,137.87 is: 132,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,678.96 : 221,584.01 = 96,137.87 : x
  2. Step 2: Convert to fraction form
    160,678.96/221,584.01 = 96,137.87/x
  3. Step 3: Cross multiply
    160,678.96x = 221,584.01 × 96,137.87
  4. Step 4: Simplify right side
    160,678.96x = 21,302,613,158.85
  5. Step 5: Solve for x
    x = 21,302,613,158.85/160,678.96
  6. Step 6: Final answer
    x = 132,578.74

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1.5x scale

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.