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Finding the Fourth Proportional to 224,096.22, 309,379.35 and 148,747.74

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Solution

The fourth proportional to 224,096.22, 309,379.35 and 148,747.74 is: 205,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,096.22 : 309,379.35 = 148,747.74 : x
  2. Step 2: Convert to fraction form
    224,096.22/309,379.35 = 148,747.74/x
  3. Step 3: Cross multiply
    224,096.22x = 309,379.35 × 148,747.74
  4. Step 4: Simplify right side
    224,096.22x = 46,019,479,115.17
  5. Step 5: Solve for x
    x = 46,019,479,115.17/224,096.22
  6. Step 6: Final answer
    x = 205,355.89

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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.