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Finding the Fourth Proportional to 235,985.94, 354,093.12 and 117,674.10

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Solution

The fourth proportional to 235,985.94, 354,093.12 and 117,674.10 is: 176,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,985.94 : 354,093.12 = 117,674.10 : x
  2. Step 2: Convert to fraction form
    235,985.94/354,093.12 = 117,674.10/x
  3. Step 3: Cross multiply
    235,985.94x = 354,093.12 × 117,674.10
  4. Step 4: Simplify right side
    235,985.94x = 41,667,589,212.19
  5. Step 5: Solve for x
    x = 41,667,589,212.19/235,985.94
  6. Step 6: Final answer
    x = 176,568.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.