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Finding the Fourth Proportional to 177,533.76, 244,991.04 and 96,960

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Solution

The fourth proportional to 177,533.76, 244,991.04 and 96,960 is: 133,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,533.76 : 244,991.04 = 96,960 : x
  2. Step 2: Convert to fraction form
    177,533.76/244,991.04 = 96,960/x
  3. Step 3: Cross multiply
    177,533.76x = 244,991.04 × 96,960
  4. Step 4: Simplify right side
    177,533.76x = 23,754,331,238.40
  5. Step 5: Solve for x
    x = 23,754,331,238.40/177,533.76
  6. Step 6: Final answer
    x = 133,801.77

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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.