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Finding the Fourth Proportional to 163,401, 245,101.50 and 52,593

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Solution

The fourth proportional to 163,401, 245,101.50 and 52,593 is: 78,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,401 : 245,101.50 = 52,593 : x
  2. Step 2: Convert to fraction form
    163,401/245,101.50 = 52,593/x
  3. Step 3: Cross multiply
    163,401x = 245,101.50 × 52,593
  4. Step 4: Simplify right side
    163,401x = 12,890,623,189.50
  5. Step 5: Solve for x
    x = 12,890,623,189.50/163,401
  6. Step 6: Final answer
    x = 78,889.50

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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.