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Finding the Fourth Proportional to 114,901.92, 158,515.92 and 70,164

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Solution

The fourth proportional to 114,901.92, 158,515.92 and 70,164 is: 96,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,901.92 : 158,515.92 = 70,164 : x
  2. Step 2: Convert to fraction form
    114,901.92/158,515.92 = 70,164/x
  3. Step 3: Cross multiply
    114,901.92x = 158,515.92 × 70,164
  4. Step 4: Simplify right side
    114,901.92x = 11,122,111,010.88
  5. Step 5: Solve for x
    x = 11,122,111,010.88/114,901.92
  6. Step 6: Final answer
    x = 96,796.56

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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.