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Finding the Fourth Proportional to 338,795.49, 508,064.13 and 114,095.64

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Solution

The fourth proportional to 338,795.49, 508,064.13 and 114,095.64 is: 171,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,795.49 : 508,064.13 = 114,095.64 : x
  2. Step 2: Convert to fraction form
    338,795.49/508,064.13 = 114,095.64/x
  3. Step 3: Cross multiply
    338,795.49x = 508,064.13 × 114,095.64
  4. Step 4: Simplify right side
    338,795.49x = 57,967,902,073.39
  5. Step 5: Solve for x
    x = 57,967,902,073.39/338,795.49
  6. Step 6: Final answer
    x = 171,099.98

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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.