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Finding the Fourth Proportional to 188,423.20, 282,537.60 and 70,033.60

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Solution

The fourth proportional to 188,423.20, 282,537.60 and 70,033.60 is: 105,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,423.20 : 282,537.60 = 70,033.60 : x
  2. Step 2: Convert to fraction form
    188,423.20/282,537.60 = 70,033.60/x
  3. Step 3: Cross multiply
    188,423.20x = 282,537.60 × 70,033.60
  4. Step 4: Simplify right side
    188,423.20x = 19,787,125,263.36
  5. Step 5: Solve for x
    x = 19,787,125,263.36/188,423.20
  6. Step 6: Final answer
    x = 105,014.27

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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.