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Finding the Fourth Proportional to 133,828.50, 200,820.52 and 59,956.50

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Solution

The fourth proportional to 133,828.50, 200,820.52 and 59,956.50 is: 89,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,828.50 : 200,820.52 = 59,956.50 : x
  2. Step 2: Convert to fraction form
    133,828.50/200,820.52 = 59,956.50/x
  3. Step 3: Cross multiply
    133,828.50x = 200,820.52 × 59,956.50
  4. Step 4: Simplify right side
    133,828.50x = 12,040,495,507.38
  5. Step 5: Solve for x
    x = 12,040,495,507.38/133,828.50
  6. Step 6: Final answer
    x = 89,969.59

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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.