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Finding the Fourth Proportional to 163,049.50, 224,912.70 and 102,524.20

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Solution

The fourth proportional to 163,049.50, 224,912.70 and 102,524.20 is: 141,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,049.50 : 224,912.70 = 102,524.20 : x
  2. Step 2: Convert to fraction form
    163,049.50/224,912.70 = 102,524.20/x
  3. Step 3: Cross multiply
    163,049.50x = 224,912.70 × 102,524.20
  4. Step 4: Simplify right side
    163,049.50x = 23,058,994,637.34
  5. Step 5: Solve for x
    x = 23,058,994,637.34/163,049.50
  6. Step 6: Final answer
    x = 141,423.28

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1.5x scale

Why These Related Problems?

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