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Finding the Fourth Proportional to 151,596, 209,199.65 and 83,619.32

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Solution

The fourth proportional to 151,596, 209,199.65 and 83,619.32 is: 115,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,596 : 209,199.65 = 83,619.32 : x
  2. Step 2: Convert to fraction form
    151,596/209,199.65 = 83,619.32/x
  3. Step 3: Cross multiply
    151,596x = 209,199.65 × 83,619.32
  4. Step 4: Simplify right side
    151,596x = 17,493,131,013.14
  5. Step 5: Solve for x
    x = 17,493,131,013.14/151,596
  6. Step 6: Final answer
    x = 115,393.09

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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.