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Finding the Fourth Proportional to 151,892.09, 209,612.84 and 83,907.64

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Solution

The fourth proportional to 151,892.09, 209,612.84 and 83,907.64 is: 115,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,892.09 : 209,612.84 = 83,907.64 : x
  2. Step 2: Convert to fraction form
    151,892.09/209,612.84 = 83,907.64/x
  3. Step 3: Cross multiply
    151,892.09x = 209,612.84 × 83,907.64
  4. Step 4: Simplify right side
    151,892.09x = 17,588,118,560.58
  5. Step 5: Solve for x
    x = 17,588,118,560.58/151,892.09
  6. Step 6: Final answer
    x = 115,793.51

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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.