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Finding the Fourth Proportional to 204,330.50, 306,495.76 and 56,586.50

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Solution

The fourth proportional to 204,330.50, 306,495.76 and 56,586.50 is: 84,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,330.50 : 306,495.76 = 56,586.50 : x
  2. Step 2: Convert to fraction form
    204,330.50/306,495.76 = 56,586.50/x
  3. Step 3: Cross multiply
    204,330.50x = 306,495.76 × 56,586.50
  4. Step 4: Simplify right side
    204,330.50x = 17,343,522,323.24
  5. Step 5: Solve for x
    x = 17,343,522,323.24/204,330.50
  6. Step 6: Final answer
    x = 84,879.75

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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.