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Finding the Fourth Proportional to 188,085.60, 282,128.40 and 69,744.60

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Solution

The fourth proportional to 188,085.60, 282,128.40 and 69,744.60 is: 104,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,085.60 : 282,128.40 = 69,744.60 : x
  2. Step 2: Convert to fraction form
    188,085.60/282,128.40 = 69,744.60/x
  3. Step 3: Cross multiply
    188,085.60x = 282,128.40 × 69,744.60
  4. Step 4: Simplify right side
    188,085.60x = 19,676,932,406.64
  5. Step 5: Solve for x
    x = 19,676,932,406.64/188,085.60
  6. Step 6: Final answer
    x = 104,616.90

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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.