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Finding the Fourth Proportional to 206,671.58, 285,187.08 and 116,006.77

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Solution

The fourth proportional to 206,671.58, 285,187.08 and 116,006.77 is: 160,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,671.58 : 285,187.08 = 116,006.77 : x
  2. Step 2: Convert to fraction form
    206,671.58/285,187.08 = 116,006.77/x
  3. Step 3: Cross multiply
    206,671.58x = 285,187.08 × 116,006.77
  4. Step 4: Simplify right side
    206,671.58x = 33,083,630,570.60
  5. Step 5: Solve for x
    x = 33,083,630,570.60/206,671.58
  6. Step 6: Final answer
    x = 160,078.28

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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.