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Finding the Fourth Proportional to 211,555.53, 317,334.06 and 53,784

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Solution

The fourth proportional to 211,555.53, 317,334.06 and 53,784 is: 80,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,555.53 : 317,334.06 = 53,784 : x
  2. Step 2: Convert to fraction form
    211,555.53/317,334.06 = 53,784/x
  3. Step 3: Cross multiply
    211,555.53x = 317,334.06 × 53,784
  4. Step 4: Simplify right side
    211,555.53x = 17,067,495,083.04
  5. Step 5: Solve for x
    x = 17,067,495,083.04/211,555.53
  6. Step 6: Final answer
    x = 80,676.19

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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.