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Finding the Fourth Proportional to 242,556.40, 363,834.60 and 183,507.40

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Solution

The fourth proportional to 242,556.40, 363,834.60 and 183,507.40 is: 275,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,556.40 : 363,834.60 = 183,507.40 : x
  2. Step 2: Convert to fraction form
    242,556.40/363,834.60 = 183,507.40/x
  3. Step 3: Cross multiply
    242,556.40x = 363,834.60 × 183,507.40
  4. Step 4: Simplify right side
    242,556.40x = 66,766,341,476.04
  5. Step 5: Solve for x
    x = 66,766,341,476.04/242,556.40
  6. Step 6: Final answer
    x = 275,261.10

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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.