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Finding the Fourth Proportional to 242,584.40, 363,012.60 and 153,880.40

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Solution

The fourth proportional to 242,584.40, 363,012.60 and 153,880.40 is: 230,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,584.40 : 363,012.60 = 153,880.40 : x
  2. Step 2: Convert to fraction form
    242,584.40/363,012.60 = 153,880.40/x
  3. Step 3: Cross multiply
    242,584.40x = 363,012.60 × 153,880.40
  4. Step 4: Simplify right side
    242,584.40x = 55,860,524,093.04
  5. Step 5: Solve for x
    x = 55,860,524,093.04/242,584.40
  6. Step 6: Final answer
    x = 230,272.53

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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.