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Finding the Fourth Proportional to 201,060, 277,441.92 and 116,204.16

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Solution

The fourth proportional to 201,060, 277,441.92 and 116,204.16 is: 160,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,060 : 277,441.92 = 116,204.16 : x
  2. Step 2: Convert to fraction form
    201,060/277,441.92 = 116,204.16/x
  3. Step 3: Cross multiply
    201,060x = 277,441.92 × 116,204.16
  4. Step 4: Simplify right side
    201,060x = 32,239,905,262.39
  5. Step 5: Solve for x
    x = 32,239,905,262.39/201,060
  6. Step 6: Final answer
    x = 160,349.67

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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.