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Finding the Fourth Proportional to 242,532.63, 363,657.74 and 92,783.21

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Solution

The fourth proportional to 242,532.63, 363,657.74 and 92,783.21 is: 139,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,532.63 : 363,657.74 = 92,783.21 : x
  2. Step 2: Convert to fraction form
    242,532.63/363,657.74 = 92,783.21/x
  3. Step 3: Cross multiply
    242,532.63x = 363,657.74 × 92,783.21
  4. Step 4: Simplify right side
    242,532.63x = 33,741,330,176.34
  5. Step 5: Solve for x
    x = 33,741,330,176.34/242,532.63
  6. Step 6: Final answer
    x = 139,120.79

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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.