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Finding the Fourth Proportional to 216,005.40, 323,910.90 and 82,841.40

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Solution

The fourth proportional to 216,005.40, 323,910.90 and 82,841.40 is: 124,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,005.40 : 323,910.90 = 82,841.40 : x
  2. Step 2: Convert to fraction form
    216,005.40/323,910.90 = 82,841.40/x
  3. Step 3: Cross multiply
    216,005.40x = 323,910.90 × 82,841.40
  4. Step 4: Simplify right side
    216,005.40x = 26,833,232,431.26
  5. Step 5: Solve for x
    x = 26,833,232,431.26/216,005.40
  6. Step 6: Final answer
    x = 124,224.82

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1.5x scale

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.