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Finding the Fourth Proportional to 242,896.56, 364,317.48 and 65,416.56

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Solution

The fourth proportional to 242,896.56, 364,317.48 and 65,416.56 is: 98,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,896.56 : 364,317.48 = 65,416.56 : x
  2. Step 2: Convert to fraction form
    242,896.56/364,317.48 = 65,416.56/x
  3. Step 3: Cross multiply
    242,896.56x = 364,317.48 × 65,416.56
  4. Step 4: Simplify right side
    242,896.56x = 23,832,396,289.47
  5. Step 5: Solve for x
    x = 23,832,396,289.47/242,896.56
  6. Step 6: Final answer
    x = 98,117.47

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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.