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Finding the Fourth Proportional to 118,217.22, 177,411 and 47,098.68

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Solution

The fourth proportional to 118,217.22, 177,411 and 47,098.68 is: 70,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,217.22 : 177,411 = 47,098.68 : x
  2. Step 2: Convert to fraction form
    118,217.22/177,411 = 47,098.68/x
  3. Step 3: Cross multiply
    118,217.22x = 177,411 × 47,098.68
  4. Step 4: Simplify right side
    118,217.22x = 8,355,823,917.48
  5. Step 5: Solve for x
    x = 8,355,823,917.48/118,217.22
  6. Step 6: Final answer
    x = 70,681.95

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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.