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Finding the Fourth Proportional to 102,553.20, 153,664.20 and 58,047.60

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Solution

The fourth proportional to 102,553.20, 153,664.20 and 58,047.60 is: 86,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,553.20 : 153,664.20 = 58,047.60 : x
  2. Step 2: Convert to fraction form
    102,553.20/153,664.20 = 58,047.60/x
  3. Step 3: Cross multiply
    102,553.20x = 153,664.20 × 58,047.60
  4. Step 4: Simplify right side
    102,553.20x = 8,919,838,015.92
  5. Step 5: Solve for x
    x = 8,919,838,015.92/102,553.20
  6. Step 6: Final answer
    x = 86,977.67

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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.