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Finding the Fourth Proportional to 201,204.14, 277,645.46 and 116,326.67

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Solution

The fourth proportional to 201,204.14, 277,645.46 and 116,326.67 is: 160,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204.14 : 277,645.46 = 116,326.67 : x
  2. Step 2: Convert to fraction form
    201,204.14/277,645.46 = 116,326.67/x
  3. Step 3: Cross multiply
    201,204.14x = 277,645.46 × 116,326.67
  4. Step 4: Simplify right side
    201,204.14x = 32,297,569,832.56
  5. Step 5: Solve for x
    x = 32,297,569,832.56/201,204.14
  6. Step 6: Final answer
    x = 160,521.40

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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.