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Finding the Fourth Proportional to 153,190.80, 211,400.24 and 85,206.31

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Solution

The fourth proportional to 153,190.80, 211,400.24 and 85,206.31 is: 117,583.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,190.80 : 211,400.24 = 85,206.31 : x
  2. Step 2: Convert to fraction form
    153,190.80/211,400.24 = 85,206.31/x
  3. Step 3: Cross multiply
    153,190.80x = 211,400.24 × 85,206.31
  4. Step 4: Simplify right side
    153,190.80x = 18,012,633,428.98
  5. Step 5: Solve for x
    x = 18,012,633,428.98/153,190.80
  6. Step 6: Final answer
    x = 117,583.00

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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.