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Finding the Fourth Proportional to 242,513.40, 363,770.10 and 183,464.40

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Solution

The fourth proportional to 242,513.40, 363,770.10 and 183,464.40 is: 275,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,513.40 : 363,770.10 = 183,464.40 : x
  2. Step 2: Convert to fraction form
    242,513.40/363,770.10 = 183,464.40/x
  3. Step 3: Cross multiply
    242,513.40x = 363,770.10 × 183,464.40
  4. Step 4: Simplify right side
    242,513.40x = 66,738,863,134.44
  5. Step 5: Solve for x
    x = 66,738,863,134.44/242,513.40
  6. Step 6: Final answer
    x = 275,196.60

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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.