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Finding the Fourth Proportional to 102,645.46, 154,051.11 and 43,522.64

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Solution

The fourth proportional to 102,645.46, 154,051.11 and 43,522.64 is: 65,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,645.46 : 154,051.11 = 43,522.64 : x
  2. Step 2: Convert to fraction form
    102,645.46/154,051.11 = 43,522.64/x
  3. Step 3: Cross multiply
    102,645.46x = 154,051.11 × 43,522.64
  4. Step 4: Simplify right side
    102,645.46x = 6,704,711,002.13
  5. Step 5: Solve for x
    x = 6,704,711,002.13/102,645.46
  6. Step 6: Final answer
    x = 65,319.12

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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.