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Finding the Fourth Proportional to 251,558.72, 377,257.96 and 83,047.68

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Solution

The fourth proportional to 251,558.72, 377,257.96 and 83,047.68 is: 124,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,558.72 : 377,257.96 = 83,047.68 : x
  2. Step 2: Convert to fraction form
    251,558.72/377,257.96 = 83,047.68/x
  3. Step 3: Cross multiply
    251,558.72x = 377,257.96 × 83,047.68
  4. Step 4: Simplify right side
    251,558.72x = 31,330,398,339.53
  5. Step 5: Solve for x
    x = 31,330,398,339.53/251,558.72
  6. Step 6: Final answer
    x = 124,545.07

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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.