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Finding the Fourth Proportional to 176,429.76, 264,674.08 and 81,754.80

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Solution

The fourth proportional to 176,429.76, 264,674.08 and 81,754.80 is: 122,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,429.76 : 264,674.08 = 81,754.80 : x
  2. Step 2: Convert to fraction form
    176,429.76/264,674.08 = 81,754.80/x
  3. Step 3: Cross multiply
    176,429.76x = 264,674.08 × 81,754.80
  4. Step 4: Simplify right side
    176,429.76x = 21,638,376,475.58
  5. Step 5: Solve for x
    x = 21,638,376,475.58/176,429.76
  6. Step 6: Final answer
    x = 122,645.84

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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.