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Finding the Fourth Proportional to 243,025.70, 364,538.55 and 149,584.10

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Solution

The fourth proportional to 243,025.70, 364,538.55 and 149,584.10 is: 224,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,025.70 : 364,538.55 = 149,584.10 : x
  2. Step 2: Convert to fraction form
    243,025.70/364,538.55 = 149,584.10/x
  3. Step 3: Cross multiply
    243,025.70x = 364,538.55 × 149,584.10
  4. Step 4: Simplify right side
    243,025.70x = 54,529,170,917.06
  5. Step 5: Solve for x
    x = 54,529,170,917.06/243,025.70
  6. Step 6: Final answer
    x = 224,376.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.