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Finding the Fourth Proportional to 243,310.78, 364,457.24 and 195,667.90

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Solution

The fourth proportional to 243,310.78, 364,457.24 and 195,667.90 is: 293,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,310.78 : 364,457.24 = 195,667.90 : x
  2. Step 2: Convert to fraction form
    243,310.78/364,457.24 = 195,667.90/x
  3. Step 3: Cross multiply
    243,310.78x = 364,457.24 × 195,667.90
  4. Step 4: Simplify right side
    243,310.78x = 71,312,580,901.11
  5. Step 5: Solve for x
    x = 71,312,580,901.11/243,310.78
  6. Step 6: Final answer
    x = 293,092.57

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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.