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Finding the Fourth Proportional to 224,832.09, 310,269.09 and 122,857.56

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Solution

The fourth proportional to 224,832.09, 310,269.09 and 122,857.56 is: 169,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,832.09 : 310,269.09 = 122,857.56 : x
  2. Step 2: Convert to fraction form
    224,832.09/310,269.09 = 122,857.56/x
  3. Step 3: Cross multiply
    224,832.09x = 310,269.09 × 122,857.56
  4. Step 4: Simplify right side
    224,832.09x = 38,118,903,340.82
  5. Step 5: Solve for x
    x = 38,118,903,340.82/224,832.09
  6. Step 6: Final answer
    x = 169,543.87

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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.