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Finding the Fourth Proportional to 255,729.20, 383,269.80 and 97,746.80

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Solution

The fourth proportional to 255,729.20, 383,269.80 and 97,746.80 is: 146,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,729.20 : 383,269.80 = 97,746.80 : x
  2. Step 2: Convert to fraction form
    255,729.20/383,269.80 = 97,746.80/x
  3. Step 3: Cross multiply
    255,729.20x = 383,269.80 × 97,746.80
  4. Step 4: Simplify right side
    255,729.20x = 37,463,396,486.64
  5. Step 5: Solve for x
    x = 37,463,396,486.64/255,729.20
  6. Step 6: Final answer
    x = 146,496.36

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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.