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Finding the Fourth Proportional to 270,766.35, 406,037.75 and 102,258

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Solution

The fourth proportional to 270,766.35, 406,037.75 and 102,258 is: 153,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,766.35 : 406,037.75 = 102,258 : x
  2. Step 2: Convert to fraction form
    270,766.35/406,037.75 = 102,258/x
  3. Step 3: Cross multiply
    270,766.35x = 406,037.75 × 102,258
  4. Step 4: Simplify right side
    270,766.35x = 41,520,607,728.21
  5. Step 5: Solve for x
    x = 41,520,607,728.21/270,766.35
  6. Step 6: Final answer
    x = 153,344.79

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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.