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Finding the Fourth Proportional to 153,191.64, 211,401.41 and 85,206.29

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Solution

The fourth proportional to 153,191.64, 211,401.41 and 85,206.29 is: 117,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,191.64 : 211,401.41 = 85,206.29 : x
  2. Step 2: Convert to fraction form
    153,191.64/211,401.41 = 85,206.29/x
  3. Step 3: Cross multiply
    153,191.64x = 211,401.41 × 85,206.29
  4. Step 4: Simplify right side
    153,191.64x = 18,012,729,846.87
  5. Step 5: Solve for x
    x = 18,012,729,846.87/153,191.64
  6. Step 6: Final answer
    x = 117,582.98

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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.