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Finding the Fourth Proportional to 193,953.42, 290,307.84 and 103,770.54

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Solution

The fourth proportional to 193,953.42, 290,307.84 and 103,770.54 is: 155,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,953.42 : 290,307.84 = 103,770.54 : x
  2. Step 2: Convert to fraction form
    193,953.42/290,307.84 = 103,770.54/x
  3. Step 3: Cross multiply
    193,953.42x = 290,307.84 × 103,770.54
  4. Step 4: Simplify right side
    193,953.42x = 30,125,401,323.03
  5. Step 5: Solve for x
    x = 30,125,401,323.03/193,953.42
  6. Step 6: Final answer
    x = 155,322.87

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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.