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Finding the Fourth Proportional to 132,009.20, 197,722.20 and 102,330.80

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Solution

The fourth proportional to 132,009.20, 197,722.20 and 102,330.80 is: 153,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,009.20 : 197,722.20 = 102,330.80 : x
  2. Step 2: Convert to fraction form
    132,009.20/197,722.20 = 102,330.80/x
  3. Step 3: Cross multiply
    132,009.20x = 197,722.20 × 102,330.80
  4. Step 4: Simplify right side
    132,009.20x = 20,233,070,903.76
  5. Step 5: Solve for x
    x = 20,233,070,903.76/132,009.20
  6. Step 6: Final answer
    x = 153,270.16

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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.