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Finding the Fourth Proportional to 193,742.34, 290,613.10 and 53,500.56

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Solution

The fourth proportional to 193,742.34, 290,613.10 and 53,500.56 is: 80,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,742.34 : 290,613.10 = 53,500.56 : x
  2. Step 2: Convert to fraction form
    193,742.34/290,613.10 = 53,500.56/x
  3. Step 3: Cross multiply
    193,742.34x = 290,613.10 × 53,500.56
  4. Step 4: Simplify right side
    193,742.34x = 15,547,963,593.34
  5. Step 5: Solve for x
    x = 15,547,963,593.34/193,742.34
  6. Step 6: Final answer
    x = 80,250.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.