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Finding the Fourth Proportional to 164,283.68, 226,711.32 and 88,832

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Solution

The fourth proportional to 164,283.68, 226,711.32 and 88,832 is: 122,588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,283.68 : 226,711.32 = 88,832 : x
  2. Step 2: Convert to fraction form
    164,283.68/226,711.32 = 88,832/x
  3. Step 3: Cross multiply
    164,283.68x = 226,711.32 × 88,832
  4. Step 4: Simplify right side
    164,283.68x = 20,139,219,978.24
  5. Step 5: Solve for x
    x = 20,139,219,978.24/164,283.68
  6. Step 6: Final answer
    x = 122,588.07

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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.