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Finding the Fourth Proportional to 176,222.53, 264,390.74 and 81,514.84

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Solution

The fourth proportional to 176,222.53, 264,390.74 and 81,514.84 is: 122,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,222.53 : 264,390.74 = 81,514.84 : x
  2. Step 2: Convert to fraction form
    176,222.53/264,390.74 = 81,514.84/x
  3. Step 3: Cross multiply
    176,222.53x = 264,390.74 × 81,514.84
  4. Step 4: Simplify right side
    176,222.53x = 21,551,768,868.58
  5. Step 5: Solve for x
    x = 21,551,768,868.58/176,222.53
  6. Step 6: Final answer
    x = 122,298.60

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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.