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Finding the Fourth Proportional to 338,889.42, 508,337.76 and 102,234.15

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Solution

The fourth proportional to 338,889.42, 508,337.76 and 102,234.15 is: 153,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,889.42 : 508,337.76 = 102,234.15 : x
  2. Step 2: Convert to fraction form
    338,889.42/508,337.76 = 102,234.15/x
  3. Step 3: Cross multiply
    338,889.42x = 508,337.76 × 102,234.15
  4. Step 4: Simplify right side
    338,889.42x = 51,969,478,806.50
  5. Step 5: Solve for x
    x = 51,969,478,806.50/338,889.42
  6. Step 6: Final answer
    x = 153,352.32

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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.