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Finding the Fourth Proportional to 211,385.65, 317,084.55 and 53,613.85

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Solution

The fourth proportional to 211,385.65, 317,084.55 and 53,613.85 is: 80,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,385.65 : 317,084.55 = 53,613.85 : x
  2. Step 2: Convert to fraction form
    211,385.65/317,084.55 = 53,613.85/x
  3. Step 3: Cross multiply
    211,385.65x = 317,084.55 × 53,613.85
  4. Step 4: Simplify right side
    211,385.65x = 17,000,123,501.02
  5. Step 5: Solve for x
    x = 17,000,123,501.02/211,385.65
  6. Step 6: Final answer
    x = 80,422.32

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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.