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Finding the Fourth Proportional to 102,914.40, 154,371.60 and 36,429.60

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Solution

The fourth proportional to 102,914.40, 154,371.60 and 36,429.60 is: 54,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,914.40 : 154,371.60 = 36,429.60 : x
  2. Step 2: Convert to fraction form
    102,914.40/154,371.60 = 36,429.60/x
  3. Step 3: Cross multiply
    102,914.40x = 154,371.60 × 36,429.60
  4. Step 4: Simplify right side
    102,914.40x = 5,623,695,639.36
  5. Step 5: Solve for x
    x = 5,623,695,639.36/102,914.40
  6. Step 6: Final answer
    x = 54,644.40

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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.