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Finding the Fourth Proportional to 224,773.50, 310,193.46 and 122,803.26

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Solution

The fourth proportional to 224,773.50, 310,193.46 and 122,803.26 is: 169,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,773.50 : 310,193.46 = 122,803.26 : x
  2. Step 2: Convert to fraction form
    224,773.50/310,193.46 = 122,803.26/x
  3. Step 3: Cross multiply
    224,773.50x = 310,193.46 × 122,803.26
  4. Step 4: Simplify right side
    224,773.50x = 38,092,768,118.68
  5. Step 5: Solve for x
    x = 38,092,768,118.68/224,773.50
  6. Step 6: Final answer
    x = 169,471.79

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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.