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Finding the Fourth Proportional to 211,755.90, 292,223.71 and 116,268.78

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Solution

The fourth proportional to 211,755.90, 292,223.71 and 116,268.78 is: 160,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,755.90 : 292,223.71 = 116,268.78 : x
  2. Step 2: Convert to fraction form
    211,755.90/292,223.71 = 116,268.78/x
  3. Step 3: Cross multiply
    211,755.90x = 292,223.71 × 116,268.78
  4. Step 4: Simplify right side
    211,755.90x = 33,976,494,248.77
  5. Step 5: Solve for x
    x = 33,976,494,248.77/211,755.90
  6. Step 6: Final answer
    x = 160,451.23

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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.