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Finding the Fourth Proportional to 193,650.84, 290,505.78 and 98,829.24

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Solution

The fourth proportional to 193,650.84, 290,505.78 and 98,829.24 is: 148,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,650.84 : 290,505.78 = 98,829.24 : x
  2. Step 2: Convert to fraction form
    193,650.84/290,505.78 = 98,829.24/x
  3. Step 3: Cross multiply
    193,650.84x = 290,505.78 × 98,829.24
  4. Step 4: Simplify right side
    193,650.84x = 28,710,465,453.01
  5. Step 5: Solve for x
    x = 28,710,465,453.01/193,650.84
  6. Step 6: Final answer
    x = 148,258.93

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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.