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Finding the Fourth Proportional to 211,494.30, 317,180.97 and 152,154.78

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Solution

The fourth proportional to 211,494.30, 317,180.97 and 152,154.78 is: 228,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,494.30 : 317,180.97 = 152,154.78 : x
  2. Step 2: Convert to fraction form
    211,494.30/317,180.97 = 152,154.78/x
  3. Step 3: Cross multiply
    211,494.30x = 317,180.97 × 152,154.78
  4. Step 4: Simplify right side
    211,494.30x = 48,260,600,710.54
  5. Step 5: Solve for x
    x = 48,260,600,710.54/211,494.30
  6. Step 6: Final answer
    x = 228,188.66

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