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Finding the Fourth Proportional to 151,598.84, 209,207.22 and 83,618.20

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Solution

The fourth proportional to 151,598.84, 209,207.22 and 83,618.20 is: 115,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,598.84 : 209,207.22 = 83,618.20 : x
  2. Step 2: Convert to fraction form
    151,598.84/209,207.22 = 83,618.20/x
  3. Step 3: Cross multiply
    151,598.84x = 209,207.22 × 83,618.20
  4. Step 4: Simplify right side
    151,598.84x = 17,493,531,163.40
  5. Step 5: Solve for x
    x = 17,493,531,163.40/151,598.84
  6. Step 6: Final answer
    x = 115,393.57

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