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Finding the Fourth Proportional to 242,021.40, 362,340.90 and 235,109.40

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Solution

The fourth proportional to 242,021.40, 362,340.90 and 235,109.40 is: 351,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,021.40 : 362,340.90 = 235,109.40 : x
  2. Step 2: Convert to fraction form
    242,021.40/362,340.90 = 235,109.40/x
  3. Step 3: Cross multiply
    242,021.40x = 362,340.90 × 235,109.40
  4. Step 4: Simplify right side
    242,021.40x = 85,189,751,594.46
  5. Step 5: Solve for x
    x = 85,189,751,594.46/242,021.40
  6. Step 6: Final answer
    x = 351,992.64

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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.