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Finding the Fourth Proportional to 102,006.20, 153,009.30 and 100,256.60

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Solution

The fourth proportional to 102,006.20, 153,009.30 and 100,256.60 is: 150,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006.20 : 153,009.30 = 100,256.60 : x
  2. Step 2: Convert to fraction form
    102,006.20/153,009.30 = 100,256.60/x
  3. Step 3: Cross multiply
    102,006.20x = 153,009.30 × 100,256.60
  4. Step 4: Simplify right side
    102,006.20x = 15,340,192,186.38
  5. Step 5: Solve for x
    x = 15,340,192,186.38/102,006.20
  6. Step 6: Final answer
    x = 150,384.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.