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Finding the Fourth Proportional to 216,263.64, 298,018.56 and 165,333.86

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Solution

The fourth proportional to 216,263.64, 298,018.56 and 165,333.86 is: 227,835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,263.64 : 298,018.56 = 165,333.86 : x
  2. Step 2: Convert to fraction form
    216,263.64/298,018.56 = 165,333.86/x
  3. Step 3: Cross multiply
    216,263.64x = 298,018.56 × 165,333.86
  4. Step 4: Simplify right side
    216,263.64x = 49,272,558,876.44
  5. Step 5: Solve for x
    x = 49,272,558,876.44/216,263.64
  6. Step 6: Final answer
    x = 227,835.61

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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.