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Finding the Fourth Proportional to 224,729.80, 310,081.44 and 143,090.80

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Solution

The fourth proportional to 224,729.80, 310,081.44 and 143,090.80 is: 197,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,729.80 : 310,081.44 = 143,090.80 : x
  2. Step 2: Convert to fraction form
    224,729.80/310,081.44 = 143,090.80/x
  3. Step 3: Cross multiply
    224,729.80x = 310,081.44 × 143,090.80
  4. Step 4: Simplify right side
    224,729.80x = 44,369,801,314.75
  5. Step 5: Solve for x
    x = 44,369,801,314.75/224,729.80
  6. Step 6: Final answer
    x = 197,436.22

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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.