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Finding the Fourth Proportional to 117,533.92, 162,174 and 69,802.24

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Solution

The fourth proportional to 117,533.92, 162,174 and 69,802.24 is: 96,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,533.92 : 162,174 = 69,802.24 : x
  2. Step 2: Convert to fraction form
    117,533.92/162,174 = 69,802.24/x
  3. Step 3: Cross multiply
    117,533.92x = 162,174 × 69,802.24
  4. Step 4: Simplify right side
    117,533.92x = 11,320,108,469.76
  5. Step 5: Solve for x
    x = 11,320,108,469.76/117,533.92
  6. Step 6: Final answer
    x = 96,313.54

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1.5x scale

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.