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Finding the Fourth Proportional to 118,531.42, 163,524.09 and 77,684.38

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Solution

The fourth proportional to 118,531.42, 163,524.09 and 77,684.38 is: 107,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,531.42 : 163,524.09 = 77,684.38 : x
  2. Step 2: Convert to fraction form
    118,531.42/163,524.09 = 77,684.38/x
  3. Step 3: Cross multiply
    118,531.42x = 163,524.09 × 77,684.38
  4. Step 4: Simplify right side
    118,531.42x = 12,703,267,546.71
  5. Step 5: Solve for x
    x = 12,703,267,546.71/118,531.42
  6. Step 6: Final answer
    x = 107,172.15

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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.