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Finding the Fourth Proportional to 102,686.20, 153,914.10 and 43,511.80

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Solution

The fourth proportional to 102,686.20, 153,914.10 and 43,511.80 is: 65,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,686.20 : 153,914.10 = 43,511.80 : x
  2. Step 2: Convert to fraction form
    102,686.20/153,914.10 = 43,511.80/x
  3. Step 3: Cross multiply
    102,686.20x = 153,914.10 × 43,511.80
  4. Step 4: Simplify right side
    102,686.20x = 6,697,079,536.38
  5. Step 5: Solve for x
    x = 6,697,079,536.38/102,686.20
  6. Step 6: Final answer
    x = 65,218.89

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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.