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Finding the Fourth Proportional to 102,686.20, 154,029.30 and 101,303.80

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Solution

The fourth proportional to 102,686.20, 154,029.30 and 101,303.80 is: 151,955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,686.20 : 154,029.30 = 101,303.80 : x
  2. Step 2: Convert to fraction form
    102,686.20/154,029.30 = 101,303.80/x
  3. Step 3: Cross multiply
    102,686.20x = 154,029.30 × 101,303.80
  4. Step 4: Simplify right side
    102,686.20x = 15,603,753,401.34
  5. Step 5: Solve for x
    x = 15,603,753,401.34/102,686.20
  6. Step 6: Final answer
    x = 151,955.70

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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.