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Finding the Fourth Proportional to 224,507.22, 309,784.59 and 133,800.96

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Solution

The fourth proportional to 224,507.22, 309,784.59 and 133,800.96 is: 184,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,507.22 : 309,784.59 = 133,800.96 : x
  2. Step 2: Convert to fraction form
    224,507.22/309,784.59 = 133,800.96/x
  3. Step 3: Cross multiply
    224,507.22x = 309,784.59 × 133,800.96
  4. Step 4: Simplify right side
    224,507.22x = 41,449,475,535.21
  5. Step 5: Solve for x
    x = 41,449,475,535.21/224,507.22
  6. Step 6: Final answer
    x = 184,624.24

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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.