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Finding the Fourth Proportional to 153,107.22, 211,295 and 85,131.17

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Solution

The fourth proportional to 153,107.22, 211,295 and 85,131.17 is: 117,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,107.22 : 211,295 = 85,131.17 : x
  2. Step 2: Convert to fraction form
    153,107.22/211,295 = 85,131.17/x
  3. Step 3: Cross multiply
    153,107.22x = 211,295 × 85,131.17
  4. Step 4: Simplify right side
    153,107.22x = 17,987,790,565.15
  5. Step 5: Solve for x
    x = 17,987,790,565.15/153,107.22
  6. Step 6: Final answer
    x = 117,484.93

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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.