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Finding the Fourth Proportional to 211,896.48, 317,978.64 and 118,463.52

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Solution

The fourth proportional to 211,896.48, 317,978.64 and 118,463.52 is: 177,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,896.48 : 317,978.64 = 118,463.52 : x
  2. Step 2: Convert to fraction form
    211,896.48/317,978.64 = 118,463.52/x
  3. Step 3: Cross multiply
    211,896.48x = 317,978.64 × 118,463.52
  4. Step 4: Simplify right side
    211,896.48x = 37,668,868,979.21
  5. Step 5: Solve for x
    x = 37,668,868,979.21/211,896.48
  6. Step 6: Final answer
    x = 177,770.15

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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.