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Finding the Fourth Proportional to 255,110.20, 383,102.70 and 166,755.40

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Solution

The fourth proportional to 255,110.20, 383,102.70 and 166,755.40 is: 250,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,110.20 : 383,102.70 = 166,755.40 : x
  2. Step 2: Convert to fraction form
    255,110.20/383,102.70 = 166,755.40/x
  3. Step 3: Cross multiply
    255,110.20x = 383,102.70 × 166,755.40
  4. Step 4: Simplify right side
    255,110.20x = 63,884,443,979.58
  5. Step 5: Solve for x
    x = 63,884,443,979.58/255,110.20
  6. Step 6: Final answer
    x = 250,419.01

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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.