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Finding the Fourth Proportional to 242,373.55, 363,603.63 and 82,441.31

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Solution

The fourth proportional to 242,373.55, 363,603.63 and 82,441.31 is: 123,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,373.55 : 363,603.63 = 82,441.31 : x
  2. Step 2: Convert to fraction form
    242,373.55/363,603.63 = 82,441.31/x
  3. Step 3: Cross multiply
    242,373.55x = 363,603.63 × 82,441.31
  4. Step 4: Simplify right side
    242,373.55x = 29,975,960,114.36
  5. Step 5: Solve for x
    x = 29,975,960,114.36/242,373.55
  6. Step 6: Final answer
    x = 123,676.70

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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.