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Finding the Fourth Proportional to 150,893.68, 208,155.20 and 102,498.10

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Solution

The fourth proportional to 150,893.68, 208,155.20 and 102,498.10 is: 141,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,893.68 : 208,155.20 = 102,498.10 : x
  2. Step 2: Convert to fraction form
    150,893.68/208,155.20 = 102,498.10/x
  3. Step 3: Cross multiply
    150,893.68x = 208,155.20 × 102,498.10
  4. Step 4: Simplify right side
    150,893.68x = 21,335,511,992.63
  5. Step 5: Solve for x
    x = 21,335,511,992.63/150,893.68
  6. Step 6: Final answer
    x = 141,394.34

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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.