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Finding the Fourth Proportional to 102,358.92, 153,504.09 and 39,164.34

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Solution

The fourth proportional to 102,358.92, 153,504.09 and 39,164.34 is: 58,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,358.92 : 153,504.09 = 39,164.34 : x
  2. Step 2: Convert to fraction form
    102,358.92/153,504.09 = 39,164.34/x
  3. Step 3: Cross multiply
    102,358.92x = 153,504.09 × 39,164.34
  4. Step 4: Simplify right side
    102,358.92x = 6,011,886,372.15
  5. Step 5: Solve for x
    x = 6,011,886,372.15/102,358.92
  6. Step 6: Final answer
    x = 58,733.39

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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.