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Finding the Fourth Proportional to 201,415.05, 277,930.98 and 116,516.25

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Solution

The fourth proportional to 201,415.05, 277,930.98 and 116,516.25 is: 160,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,415.05 : 277,930.98 = 116,516.25 : x
  2. Step 2: Convert to fraction form
    201,415.05/277,930.98 = 116,516.25/x
  3. Step 3: Cross multiply
    201,415.05x = 277,930.98 × 116,516.25
  4. Step 4: Simplify right side
    201,415.05x = 32,383,475,548.43
  5. Step 5: Solve for x
    x = 32,383,475,548.43/201,415.05
  6. Step 6: Final answer
    x = 160,779.82

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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.