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Finding the Fourth Proportional to 338,836.34, 508,124.82 and 114,136.40

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Solution

The fourth proportional to 338,836.34, 508,124.82 and 114,136.40 is: 171,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,836.34 : 508,124.82 = 114,136.40 : x
  2. Step 2: Convert to fraction form
    338,836.34/508,124.82 = 114,136.40/x
  3. Step 3: Cross multiply
    338,836.34x = 508,124.82 × 114,136.40
  4. Step 4: Simplify right side
    338,836.34x = 57,995,537,705.45
  5. Step 5: Solve for x
    x = 57,995,537,705.45/338,836.34
  6. Step 6: Final answer
    x = 171,160.91

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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.