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Finding the Fourth Proportional to 152,993.41, 211,165.18 and 85,034.21

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Solution

The fourth proportional to 152,993.41, 211,165.18 and 85,034.21 is: 117,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,993.41 : 211,165.18 = 85,034.21 : x
  2. Step 2: Convert to fraction form
    152,993.41/211,165.18 = 85,034.21/x
  3. Step 3: Cross multiply
    152,993.41x = 211,165.18 × 85,034.21
  4. Step 4: Simplify right side
    152,993.41x = 17,956,262,992.40
  5. Step 5: Solve for x
    x = 17,956,262,992.40/152,993.41
  6. Step 6: Final answer
    x = 117,366.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.