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Finding the Fourth Proportional to 133,134.76, 199,801.32 and 97,687.67

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Solution

The fourth proportional to 133,134.76, 199,801.32 and 97,687.67 is: 146,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,134.76 : 199,801.32 = 97,687.67 : x
  2. Step 2: Convert to fraction form
    133,134.76/199,801.32 = 97,687.67/x
  3. Step 3: Cross multiply
    133,134.76x = 199,801.32 × 97,687.67
  4. Step 4: Simplify right side
    133,134.76x = 19,518,125,172.27
  5. Step 5: Solve for x
    x = 19,518,125,172.27/133,134.76
  6. Step 6: Final answer
    x = 146,604.28

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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.