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Finding the Fourth Proportional to 176,297.31, 264,454.47 and 57,966.03

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Solution

The fourth proportional to 176,297.31, 264,454.47 and 57,966.03 is: 86,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,297.31 : 264,454.47 = 57,966.03 : x
  2. Step 2: Convert to fraction form
    176,297.31/264,454.47 = 57,966.03/x
  3. Step 3: Cross multiply
    176,297.31x = 264,454.47 × 57,966.03
  4. Step 4: Simplify right side
    176,297.31x = 15,329,375,741.65
  5. Step 5: Solve for x
    x = 15,329,375,741.65/176,297.31
  6. Step 6: Final answer
    x = 86,951.84

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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.