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Finding the Fourth Proportional to 525,048.32, 787,735.92 and 188,091.87

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Solution

The fourth proportional to 525,048.32, 787,735.92 and 188,091.87 is: 282,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,048.32 : 787,735.92 = 188,091.87 : x
  2. Step 2: Convert to fraction form
    525,048.32/787,735.92 = 188,091.87/x
  3. Step 3: Cross multiply
    525,048.32x = 787,735.92 × 188,091.87
  4. Step 4: Simplify right side
    525,048.32x = 148,166,722,258.97
  5. Step 5: Solve for x
    x = 148,166,722,258.97/525,048.32
  6. Step 6: Final answer
    x = 282,196.36

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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.