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Finding the Fourth Proportional to 151,597.84, 209,205.84 and 83,617.20

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Solution

The fourth proportional to 151,597.84, 209,205.84 and 83,617.20 is: 115,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,597.84 : 209,205.84 = 83,617.20 : x
  2. Step 2: Convert to fraction form
    151,597.84/209,205.84 = 83,617.20/x
  3. Step 3: Cross multiply
    151,597.84x = 209,205.84 × 83,617.20
  4. Step 4: Simplify right side
    151,597.84x = 17,493,206,564.45
  5. Step 5: Solve for x
    x = 17,493,206,564.45/151,597.84
  6. Step 6: Final answer
    x = 115,392.19

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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.