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Finding the Fourth Proportional to 102,902.40, 154,450.80 and 63,536.40

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Solution

The fourth proportional to 102,902.40, 154,450.80 and 63,536.40 is: 95,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,902.40 : 154,450.80 = 63,536.40 : x
  2. Step 2: Convert to fraction form
    102,902.40/154,450.80 = 63,536.40/x
  3. Step 3: Cross multiply
    102,902.40x = 154,450.80 × 63,536.40
  4. Step 4: Simplify right side
    102,902.40x = 9,813,247,809.12
  5. Step 5: Solve for x
    x = 9,813,247,809.12/102,902.40
  6. Step 6: Final answer
    x = 95,364.62

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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.