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Finding the Fourth Proportional to 242,878.68, 364,285.11 and 65,396.34

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Solution

The fourth proportional to 242,878.68, 364,285.11 and 65,396.34 is: 98,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,878.68 : 364,285.11 = 65,396.34 : x
  2. Step 2: Convert to fraction form
    242,878.68/364,285.11 = 65,396.34/x
  3. Step 3: Cross multiply
    242,878.68x = 364,285.11 × 65,396.34
  4. Step 4: Simplify right side
    242,878.68x = 23,822,912,910.50
  5. Step 5: Solve for x
    x = 23,822,912,910.50/242,878.68
  6. Step 6: Final answer
    x = 98,085.65

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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.