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Finding the Fourth Proportional to 102,814.60, 154,221.90 and 85,318.60

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Solution

The fourth proportional to 102,814.60, 154,221.90 and 85,318.60 is: 127,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,814.60 : 154,221.90 = 85,318.60 : x
  2. Step 2: Convert to fraction form
    102,814.60/154,221.90 = 85,318.60/x
  3. Step 3: Cross multiply
    102,814.60x = 154,221.90 × 85,318.60
  4. Step 4: Simplify right side
    102,814.60x = 13,157,996,597.34
  5. Step 5: Solve for x
    x = 13,157,996,597.34/102,814.60
  6. Step 6: Final answer
    x = 127,977.90

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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.