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Finding the Fourth Proportional to 242,656.83, 363,735.36 and 92,856.24

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Solution

The fourth proportional to 242,656.83, 363,735.36 and 92,856.24 is: 139,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,656.83 : 363,735.36 = 92,856.24 : x
  2. Step 2: Convert to fraction form
    242,656.83/363,735.36 = 92,856.24/x
  3. Step 3: Cross multiply
    242,656.83x = 363,735.36 × 92,856.24
  4. Step 4: Simplify right side
    242,656.83x = 33,775,097,884.65
  5. Step 5: Solve for x
    x = 33,775,097,884.65/242,656.83
  6. Step 6: Final answer
    x = 139,188.74

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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.