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Finding the Fourth Proportional to 317,093.66, 475,105.58 and 156,956.06

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Solution

The fourth proportional to 317,093.66, 475,105.58 and 156,956.06 is: 235,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,093.66 : 475,105.58 = 156,956.06 : x
  2. Step 2: Convert to fraction form
    317,093.66/475,105.58 = 156,956.06/x
  3. Step 3: Cross multiply
    317,093.66x = 475,105.58 × 156,956.06
  4. Step 4: Simplify right side
    317,093.66x = 74,570,699,920.81
  5. Step 5: Solve for x
    x = 74,570,699,920.81/317,093.66
  6. Step 6: Final answer
    x = 235,169.32

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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.