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Finding the Fourth Proportional to 224,568.59, 309,956.75 and 148,101.48

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Solution

The fourth proportional to 224,568.59, 309,956.75 and 148,101.48 is: 204,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,568.59 : 309,956.75 = 148,101.48 : x
  2. Step 2: Convert to fraction form
    224,568.59/309,956.75 = 148,101.48/x
  3. Step 3: Cross multiply
    224,568.59x = 309,956.75 × 148,101.48
  4. Step 4: Simplify right side
    224,568.59x = 45,905,052,670.48
  5. Step 5: Solve for x
    x = 45,905,052,670.48/224,568.59
  6. Step 6: Final answer
    x = 204,414.40

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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.