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Finding the Fourth Proportional to 216,083.52, 298,187.45 and 119,285.30

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Solution

The fourth proportional to 216,083.52, 298,187.45 and 119,285.30 is: 164,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,083.52 : 298,187.45 = 119,285.30 : x
  2. Step 2: Convert to fraction form
    216,083.52/298,187.45 = 119,285.30/x
  3. Step 3: Cross multiply
    216,083.52x = 298,187.45 × 119,285.30
  4. Step 4: Simplify right side
    216,083.52x = 35,569,377,342.12
  5. Step 5: Solve for x
    x = 35,569,377,342.12/216,083.52
  6. Step 6: Final answer
    x = 164,609.39

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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.