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Finding the Fourth Proportional to 216,406.76, 298,656.78 and 119,608.54

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Solution

The fourth proportional to 216,406.76, 298,656.78 and 119,608.54 is: 165,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,406.76 : 298,656.78 = 119,608.54 : x
  2. Step 2: Convert to fraction form
    216,406.76/298,656.78 = 119,608.54/x
  3. Step 3: Cross multiply
    216,406.76x = 298,656.78 × 119,608.54
  4. Step 4: Simplify right side
    216,406.76x = 35,721,901,416.90
  5. Step 5: Solve for x
    x = 35,721,901,416.90/216,406.76
  6. Step 6: Final answer
    x = 165,068.33

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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.