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Finding the Fourth Proportional to 114,536, 158,076.96 and 69,849.92

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Solution

The fourth proportional to 114,536, 158,076.96 and 69,849.92 is: 96,403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,536 : 158,076.96 = 69,849.92 : x
  2. Step 2: Convert to fraction form
    114,536/158,076.96 = 69,849.92/x
  3. Step 3: Cross multiply
    114,536x = 158,076.96 × 69,849.92
  4. Step 4: Simplify right side
    114,536x = 11,041,663,009.84
  5. Step 5: Solve for x
    x = 11,041,663,009.84/114,536
  6. Step 6: Final answer
    x = 96,403.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.