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Finding the Fourth Proportional to 176,596.65, 264,904.17 and 58,277.22

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Solution

The fourth proportional to 176,596.65, 264,904.17 and 58,277.22 is: 87,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,596.65 : 264,904.17 = 58,277.22 : x
  2. Step 2: Convert to fraction form
    176,596.65/264,904.17 = 58,277.22/x
  3. Step 3: Cross multiply
    176,596.65x = 264,904.17 × 58,277.22
  4. Step 4: Simplify right side
    176,596.65x = 15,437,876,978.10
  5. Step 5: Solve for x
    x = 15,437,876,978.10/176,596.65
  6. Step 6: Final answer
    x = 87,418.86

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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.