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Finding the Fourth Proportional to 150,336.63, 207,461.93 and 82,354.95

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Solution

The fourth proportional to 150,336.63, 207,461.93 and 82,354.95 is: 113,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,336.63 : 207,461.93 = 82,354.95 : x
  2. Step 2: Convert to fraction form
    150,336.63/207,461.93 = 82,354.95/x
  3. Step 3: Cross multiply
    150,336.63x = 207,461.93 × 82,354.95
  4. Step 4: Simplify right side
    150,336.63x = 17,085,516,460.28
  5. Step 5: Solve for x
    x = 17,085,516,460.28/150,336.63
  6. Step 6: Final answer
    x = 113,648.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.