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Finding the Fourth Proportional to 211,778.48, 292,257.72 and 116,294

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Solution

The fourth proportional to 211,778.48, 292,257.72 and 116,294 is: 160,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,778.48 : 292,257.72 = 116,294 : x
  2. Step 2: Convert to fraction form
    211,778.48/292,257.72 = 116,294/x
  3. Step 3: Cross multiply
    211,778.48x = 292,257.72 × 116,294
  4. Step 4: Simplify right side
    211,778.48x = 33,987,819,289.68
  5. Step 5: Solve for x
    x = 33,987,819,289.68/211,778.48
  6. Step 6: Final answer
    x = 160,487.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.