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Finding the Fourth Proportional to 188,124.56, 282,195.48 and 47,884.40

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Solution

The fourth proportional to 188,124.56, 282,195.48 and 47,884.40 is: 71,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,124.56 : 282,195.48 = 47,884.40 : x
  2. Step 2: Convert to fraction form
    188,124.56/282,195.48 = 47,884.40/x
  3. Step 3: Cross multiply
    188,124.56x = 282,195.48 × 47,884.40
  4. Step 4: Simplify right side
    188,124.56x = 13,512,761,242.51
  5. Step 5: Solve for x
    x = 13,512,761,242.51/188,124.56
  6. Step 6: Final answer
    x = 71,828.80

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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.