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Finding the Fourth Proportional to 242,293.24, 363,500.34 and 84,523

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Solution

The fourth proportional to 242,293.24, 363,500.34 and 84,523 is: 126,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,293.24 : 363,500.34 = 84,523 : x
  2. Step 2: Convert to fraction form
    242,293.24/363,500.34 = 84,523/x
  3. Step 3: Cross multiply
    242,293.24x = 363,500.34 × 84,523
  4. Step 4: Simplify right side
    242,293.24x = 30,724,139,237.82
  5. Step 5: Solve for x
    x = 30,724,139,237.82/242,293.24
  6. Step 6: Final answer
    x = 126,805.60

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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.