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Finding the Fourth Proportional to 211,646.52, 317,471.56 and 53,875

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Solution

The fourth proportional to 211,646.52, 317,471.56 and 53,875 is: 80,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,646.52 : 317,471.56 = 53,875 : x
  2. Step 2: Convert to fraction form
    211,646.52/317,471.56 = 53,875/x
  3. Step 3: Cross multiply
    211,646.52x = 317,471.56 × 53,875
  4. Step 4: Simplify right side
    211,646.52x = 17,103,780,295
  5. Step 5: Solve for x
    x = 17,103,780,295/211,646.52
  6. Step 6: Final answer
    x = 80,812.95

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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.