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Finding the Fourth Proportional to 153,307.34, 211,571.09 and 85,328.66

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Solution

The fourth proportional to 153,307.34, 211,571.09 and 85,328.66 is: 117,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,307.34 : 211,571.09 = 85,328.66 : x
  2. Step 2: Convert to fraction form
    153,307.34/211,571.09 = 85,328.66/x
  3. Step 3: Cross multiply
    153,307.34x = 211,571.09 × 85,328.66
  4. Step 4: Simplify right side
    153,307.34x = 18,053,077,604.44
  5. Step 5: Solve for x
    x = 18,053,077,604.44/153,307.34
  6. Step 6: Final answer
    x = 117,757.43

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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.