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Finding the Fourth Proportional to 151,687.68, 209,329.59 and 83,706.63

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Solution

The fourth proportional to 151,687.68, 209,329.59 and 83,706.63 is: 115,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,687.68 : 209,329.59 = 83,706.63 : x
  2. Step 2: Convert to fraction form
    151,687.68/209,329.59 = 83,706.63/x
  3. Step 3: Cross multiply
    151,687.68x = 209,329.59 × 83,706.63
  4. Step 4: Simplify right side
    151,687.68x = 17,522,274,538.18
  5. Step 5: Solve for x
    x = 17,522,274,538.18/151,687.68
  6. Step 6: Final answer
    x = 115,515.48

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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.