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Finding the Fourth Proportional to 164,664.84, 227,237.63 and 89,213.34

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Solution

The fourth proportional to 164,664.84, 227,237.63 and 89,213.34 is: 123,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,664.84 : 227,237.63 = 89,213.34 : x
  2. Step 2: Convert to fraction form
    164,664.84/227,237.63 = 89,213.34/x
  3. Step 3: Cross multiply
    164,664.84x = 227,237.63 × 89,213.34
  4. Step 4: Simplify right side
    164,664.84x = 20,272,627,499.92
  5. Step 5: Solve for x
    x = 20,272,627,499.92/164,664.84
  6. Step 6: Final answer
    x = 123,114.49

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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.