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Finding the Fourth Proportional to 118,511, 177,772.98 and 35,411.48

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Solution

The fourth proportional to 118,511, 177,772.98 and 35,411.48 is: 53,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,511 : 177,772.98 = 35,411.48 : x
  2. Step 2: Convert to fraction form
    118,511/177,772.98 = 35,411.48/x
  3. Step 3: Cross multiply
    118,511x = 177,772.98 × 35,411.48
  4. Step 4: Simplify right side
    118,511x = 6,295,204,325.81
  5. Step 5: Solve for x
    x = 6,295,204,325.81/118,511
  6. Step 6: Final answer
    x = 53,119.16

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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.