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Finding the Fourth Proportional to 164,443.16, 226,931.56 and 88,991.66

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Solution

The fourth proportional to 164,443.16, 226,931.56 and 88,991.66 is: 122,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,443.16 : 226,931.56 = 88,991.66 : x
  2. Step 2: Convert to fraction form
    164,443.16/226,931.56 = 88,991.66/x
  3. Step 3: Cross multiply
    164,443.16x = 226,931.56 × 88,991.66
  4. Step 4: Simplify right side
    164,443.16x = 20,195,014,651.17
  5. Step 5: Solve for x
    x = 20,195,014,651.17/164,443.16
  6. Step 6: Final answer
    x = 122,808.48

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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.