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Finding the Fourth Proportional to 176,221.53, 264,389.24 and 81,513.84

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Solution

The fourth proportional to 176,221.53, 264,389.24 and 81,513.84 is: 122,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,221.53 : 264,389.24 = 81,513.84 : x
  2. Step 2: Convert to fraction form
    176,221.53/264,389.24 = 81,513.84/x
  3. Step 3: Cross multiply
    176,221.53x = 264,389.24 × 81,513.84
  4. Step 4: Simplify right side
    176,221.53x = 21,551,381,799.51
  5. Step 5: Solve for x
    x = 21,551,381,799.51/176,221.53
  6. Step 6: Final answer
    x = 122,297.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.