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Finding the Fourth Proportional to 211,661.80, 292,084.14 and 116,170.12

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Solution

The fourth proportional to 211,661.80, 292,084.14 and 116,170.12 is: 160,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,661.80 : 292,084.14 = 116,170.12 : x
  2. Step 2: Convert to fraction form
    211,661.80/292,084.14 = 116,170.12/x
  3. Step 3: Cross multiply
    211,661.80x = 292,084.14 × 116,170.12
  4. Step 4: Simplify right side
    211,661.80x = 33,931,449,593.90
  5. Step 5: Solve for x
    x = 33,931,449,593.90/211,661.80
  6. Step 6: Final answer
    x = 160,309.75

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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.