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Finding the Fourth Proportional to 192,004.86, 288,256.77 and 147,663.03

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Solution

The fourth proportional to 192,004.86, 288,256.77 and 147,663.03 is: 221,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,004.86 : 288,256.77 = 147,663.03 : x
  2. Step 2: Convert to fraction form
    192,004.86/288,256.77 = 147,663.03/x
  3. Step 3: Cross multiply
    192,004.86x = 288,256.77 × 147,663.03
  4. Step 4: Simplify right side
    192,004.86x = 42,564,868,076.21
  5. Step 5: Solve for x
    x = 42,564,868,076.21/192,004.86
  6. Step 6: Final answer
    x = 221,686.41

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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.