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Finding the Fourth Proportional to 102,520.40, 153,780.60 and 71,027.60

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Solution

The fourth proportional to 102,520.40, 153,780.60 and 71,027.60 is: 106,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,520.40 : 153,780.60 = 71,027.60 : x
  2. Step 2: Convert to fraction form
    102,520.40/153,780.60 = 71,027.60/x
  3. Step 3: Cross multiply
    102,520.40x = 153,780.60 × 71,027.60
  4. Step 4: Simplify right side
    102,520.40x = 10,922,666,944.56
  5. Step 5: Solve for x
    x = 10,922,666,944.56/102,520.40
  6. Step 6: Final answer
    x = 106,541.40

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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.