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Finding the Fourth Proportional to 164,187.68, 226,578.66 and 88,736

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Solution

The fourth proportional to 164,187.68, 226,578.66 and 88,736 is: 122,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,187.68 : 226,578.66 = 88,736 : x
  2. Step 2: Convert to fraction form
    164,187.68/226,578.66 = 88,736/x
  3. Step 3: Cross multiply
    164,187.68x = 226,578.66 × 88,736
  4. Step 4: Simplify right side
    164,187.68x = 20,105,683,973.76
  5. Step 5: Solve for x
    x = 20,105,683,973.76/164,187.68
  6. Step 6: Final answer
    x = 122,455.50

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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.