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Finding the Fourth Proportional to 176,137, 264,150.04 and 57,780.84

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Solution

The fourth proportional to 176,137, 264,150.04 and 57,780.84 is: 86,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,137 : 264,150.04 = 57,780.84 : x
  2. Step 2: Convert to fraction form
    176,137/264,150.04 = 57,780.84/x
  3. Step 3: Cross multiply
    176,137x = 264,150.04 × 57,780.84
  4. Step 4: Simplify right side
    176,137x = 15,262,811,197.23
  5. Step 5: Solve for x
    x = 15,262,811,197.23/176,137
  6. Step 6: Final answer
    x = 86,653.07

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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.