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Finding the Fourth Proportional to 208,777.92, 312,889.60 and 113,764.16

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Solution

The fourth proportional to 208,777.92, 312,889.60 and 113,764.16 is: 170,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,777.92 : 312,889.60 = 113,764.16 : x
  2. Step 2: Convert to fraction form
    208,777.92/312,889.60 = 113,764.16/x
  3. Step 3: Cross multiply
    208,777.92x = 312,889.60 × 113,764.16
  4. Step 4: Simplify right side
    208,777.92x = 35,595,622,516.74
  5. Step 5: Solve for x
    x = 35,595,622,516.74/208,777.92
  6. Step 6: Final answer
    x = 170,495.15

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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.