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Finding the Fourth Proportional to 211,978.48, 317,969.52 and 62,221.24

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Solution

The fourth proportional to 211,978.48, 317,969.52 and 62,221.24 is: 93,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,978.48 : 317,969.52 = 62,221.24 : x
  2. Step 2: Convert to fraction form
    211,978.48/317,969.52 = 62,221.24/x
  3. Step 3: Cross multiply
    211,978.48x = 317,969.52 × 62,221.24
  4. Step 4: Simplify right side
    211,978.48x = 19,784,457,816.60
  5. Step 5: Solve for x
    x = 19,784,457,816.60/211,978.48
  6. Step 6: Final answer
    x = 93,332.39

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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.