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Finding the Fourth Proportional to 102,505.41, 153,764.60 and 43,333.29

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Solution

The fourth proportional to 102,505.41, 153,764.60 and 43,333.29 is: 65,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,505.41 : 153,764.60 = 43,333.29 : x
  2. Step 2: Convert to fraction form
    102,505.41/153,764.60 = 43,333.29/x
  3. Step 3: Cross multiply
    102,505.41x = 153,764.60 × 43,333.29
  4. Step 4: Simplify right side
    102,505.41x = 6,663,125,786.87
  5. Step 5: Solve for x
    x = 6,663,125,786.87/102,505.41
  6. Step 6: Final answer
    x = 65,002.67

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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.