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Finding the Fourth Proportional to 108,274.20, 162,584.10 and 78,898.20

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Solution

The fourth proportional to 108,274.20, 162,584.10 and 78,898.20 is: 118,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,274.20 : 162,584.10 = 78,898.20 : x
  2. Step 2: Convert to fraction form
    108,274.20/162,584.10 = 78,898.20/x
  3. Step 3: Cross multiply
    108,274.20x = 162,584.10 × 78,898.20
  4. Step 4: Simplify right side
    108,274.20x = 12,827,592,838.62
  5. Step 5: Solve for x
    x = 12,827,592,838.62/108,274.20
  6. Step 6: Final answer
    x = 118,473.22

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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.